No, no gators..........gars.......snapping turtles......snakes.....large river rats........ n sech, but no gators.....
BUT
there are a few gators that have been spotted in the Tennessee River about 40 miles away, near Decature. However, for them to get to the Lake they would have to get through the Guntersville Dam......and that ain't likely.
(what's that about famous last words?)