According to the bible or story, the answer is no. We must first understand that the first bible was the Hebrew bible and all bibles are translation from this original text. Sometimes we need to go back to truly understand what the writers intended to say. In Hebrew there are three words that look very similar and therefore confused in their translations. ‘adaaam means mankind; more than one person. Haa-‘adaam (with article) means the man, and ‘eth haa-‘adaam (with article and particle) is a specific person named Adam.
First of all, I would like to say that Adam word without article does not obligatorily mean "mankind". It is possible understanding, but not the only.
Genesis 1
[SUP]26[/SUP] And God said, Let us make man (‘adaam) in our image, after our likeness: and let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth.
Here it’s talking about the creation of mankind. Note the underline word! It indicates more than one!
[SUP]27[/SUP] So God created man in his own image, in the image of God created he him; male and female created he them.
Here is indicated that males and females were created at the same time. So in the beginning of time God created a population of man and women.
Really, there is understanding (on deep levels of Torah), that these words speak not about Adam and Hava (Adam Rishon, Adam the 1st), but about Adam Kadmon (Adam Predecessor, metaphysical concept of the intellect in our world). But the direct understanding is also legitime here. According the direct reading, this phrase tells shortly about both Adam and Hava, and in the 2nd chapter this idea is discussed more in details.
Genesis 2
[SUP]5 [/SUP]And every plant of the field before it was in the earth, and every herb of the field before it grew: for the Lord God had not caused it to rain upon the earth, and there was not a man to till the ground.
[SUP]6 [/SUP]But there went up a mist from the earth, and watered the whole face of the ground.
[SUP]7 [/SUP]And the Lord God formed man (‘eth haa-‘adaam) of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.
[SUP]8 [/SUP]And the Lord God planted a garden eastward in Eden; and there he put the man whom he had formed.
-With only fisherman and hunters, there was no one to till the ground (farmers) so God formed Adam. Notice that he wasn’t created! but rather formed. As stated again in verse 8.
The difference between creation (bara) and forming (yatzer) is really important, but it is not a contradiction - it is a hint to deeper levels of the Torah, that creation of the intellectual essence is more fundamental act of bria (creation) that forming a concrete person Adam.
This was the purpose of the creation of Adam. Then God gives him a wife that would suit him and Eve came into existence. They first had Cain and Abel [later Seth (Gen 4:25) and many more (Gen 5:4)]. And as we all know the story, Cain murders Abel and God punishes him.
Genesis 4
[SUP]12 [/SUP]When thou tillest the ground, it shall not henceforth yield unto thee her strength; a fugitive and a vagabond shalt thou be in the earth.
A fugitive and a vagabond shalt though be is God kicking him out from Eden.
[SUP]13 [/SUP]And Cain said unto the Lord, My punishment is greater than I can bear.
[SUP]14 [/SUP]Behold, thou hast driven me out this day from the face of the earth; and from thy face shall I be hid; and I shall be a fugitive and a vagabond in the earth; and it shall come to pass, that every one that findeth me shall slay me.
[SUP]15 [/SUP]And the Lord said unto him, Therefore whosoever slayeth Cain, vengeance shall be taken on him sevenfold. And the Lord set a mark upon Cain, lest any finding him should kill him.
-In verse 14, Cain is afraid to be killed if someone finds him. Notice again the underline words! In verse 15 the lord refers to people with whosoever, again supporting the existence of other people!
[SUP] 16 [/SUP]And Cain went out from the presence of the Lord, and dwelt in the land of Nod, on the east of Eden.
[SUP]17 [/SUP]And Cain knew his wife; and she conceived, and bare Enoch: and he builded a city, and called the name of the city, after the name of his son, Enoch.
-Cain went to Nod and got married with a woman from there. Again supporting the existence of other people and even women!! Throughout the rest of the chapter, it lists generations. Again if people look past Cain’s wife as simply something you can’t question and the bible doesn’t give answers to everything, then where did Enoch find his wife? And the following people. Again, it’s because there were many men and women on earth!
You obviously know traditional explanations of this situation - that there were sisters of Cain and Abel, that it is spoken about their descendants, etc.
But I'd like to point out another understanding. Torah never claims that the "man" in its terns (adam, ben-adam, ish) means "Homo Sapiens Sapiens". Terms of Torah and terms of the modern sciences - are very different terms. All that we can know from the text is that someones, named "adam", "hava" (i.e. "life") and "bnei-adam" ("children of Adam"), were exiled from Gan-Eden into our world, and that we are descendants of them. Moreover, we cannot even be sure that "descendant" should be understood sensu stricto - Torah sometimes says "ben" ("son") about a pupil, not about a physical son. (See Rambam, Moreh Nevuchim.)
So, I consider that Adam and Hava were not the 1st people in sense "Homo Sapiens", or "Cro-Magnons". They appeared among humanity (in terms of modern science) about 6000-10000 years ago, as Torah speaks, as a result of their exiling from Eden. And in terms of Torah, they and their children really were the first "men" and "women" at the planet - when other "Homo Sapiens" were at animal level yet, in comparison with them. Further Adam, Hava, their children and their
pupils (very important sense of Hebrew word "ben") created the civilazation.
Please excuse me for bad English.