The holy spirit baptises you into the body the Christ.
It's called water baptism, being born of spirit and water.
You then receive a gift and baptism of fire.
Remission of sins.
So no you can not be fully saved untill this happens.
Spirit baptism and water baptism are
TWO DISTINCT baptisms. Matthew 3:11 - As for me, I
baptize you with water for repentance,
but He who is coming after me is mightier than I, and I am not fit to remove His sandals; He will
baptize you with the Holy Spirit and fire.
In regard to being born of water and the Spirit, in John 3:5, Jesus mentions "living water" in John 4:10, 14; 7:37-39 and in John 7:38-39, we read - "He who believes in Me, as the Scripture has said, out of his heart will flow rivers of
living water. But this He spoke
concerning the Spirit. Did you see that? The Holy Spirit is the
source of living water and spiritual cleansing. Jesus simply said "water" in John 3:5 and not baptism and Jesus
connects this living water with eternal life. (John 4:14)
If "water" is arbitrarily defined as baptism, then we could just as justifiably say, "Out of his heart will flow rivers of living baptism" in John 7:38. If this sounds ridiculous, it is no more so than the idea that water baptism is the source or the means of becoming born again.
The word "water" is used in the Bible as an
emblem of the word of God, and in such uses it is
associated with cleansing or washing. (John 15:3; Ephesians 5:26) When we are born again, the Holy Spirit begets new life, so that we are said to become "partakers of the divine nature." (2 Peter 1:4) The new birth is brought to pass through "incorruptible seed, by the word of God, which lives and abides forever" (I Peter 1:23) and the Holy Spirit accomplishes the miracle of regeneration. (Titus 3:5)
So, to automatically read "water baptism" into John 3:5 simply because it mentions "water" is unwarranted.