Yes!!! Those that believe and become born-again ==Jesus says they should be baptized==Not to be saved but because they are saved!!
An unsaved person can be baptized and have it save them...
Repenting alone is incomplete. Being baptized in the name of Jesus Christ of Nazareth for the remission of sins will complete what is otherwise incomplete; and will fulfill the condition of a promise...
In Acts of the Apostles 2:38-39 we have the promise of the Holy Ghost, given conditionally...and the condition is to repent and be baptized in the name of Jesus Christ of Nazareth for the remission of sins.
So then, if you fulfill the condition, you will receive the promise.
Is not the receiving of and indwelling of the Holy Ghost, salvation?
Therefore if anyone repents and is baptized in Jesus' Name, they will be saved as the result; if they were not saved previous to that.
If you merely believe then you "should not perish"....iffy
If you believe and are baptized you "shall be saved."...this is more absolute terminology.
So if you want to take chances, mere faith is all you need.
But if you want to be sure, I would encourage you to be baptized in the name of Jesus Christ of Nazareth for the remission of sins.
For the promise is unto you, and to your children, and to all that are afar off; even to as many as the Lord our God shall call (Acts of the Apostles 2:39).
(also take a wild peek at Romans 8:30).