No, through Christ, we're saved from ALL sins, past, present, future. When Christ saves, by His offering, He made payment on our behalf for past sin. In addition, we are also taken out from being under law relative to salvation, and therefore, not being law, current and future sin cannot be assessed against us, so in toto, there is no judgement that can levied against any who He saves.
[Heb 7:25 KJV]
25 Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them.
in the below verse, the "give" is in the present tense; that is, His sheep have eternal life.
[Jhn 10:27-29 KJV]
27 My sheep hear my voice, and I know them, and they follow me:
28 And I give unto them eternal life; and they shall never perish, neither shall any [man] pluck them out of my hand.
29 My Father, which gave [them] me, is greater than all; and no [man] is able to pluck [them] out of my Father's hand.
Those who believe, are those ordained to eternal life.
[Act 13:48 KJV] 48 And when the Gentiles heard this, they were glad, and glorified the word of the Lord: and as many as were ordained to eternal life believed.