Is it possible for an unbaptized believer to be saved? Yes, definitely. Should every believer be baptized? Yes, definitely.
Just as unbelievers can know about Jesus without knowing him, many believers know Jesus but don't practice his presence.
It's one thing to say you believe. It's another thing to have your faith tested & come out on the other side of it still believing God.
Most believers think God works when the blessing comes. That’s not true! God is working on you and your faith when the blessing is delayed.
I believe in Christianity as I believe that the sun has risen: not only because I see it, but because by it I see everything else.