These folks did almost exactly what the OP is proposing (i.e., had never sailed before, bought a boat, took about a month to learn, and then went from FL to Bahamas).
The Slapdash | No Fixed Address
Then went on to circumnavigate... In a 34' cat.
And they're certainly not the only ones. On the other hand, I'm sure there are some who will spend their entire lives on coastal and inland waters, and denigrate anyone with less experience who proposes something like the OP.