Of course!
If it were me, and I am all for following laws and such, get what you want. Raise them/breed them/ keep them, whatever you want to do with them, and don't worry about it. Most of the time they won't even know about it unless you have neighbors that complain, or you inform them. Unless they have people enforcing it by "checking around" and making house/farm visits, how would they know? And what's the worst they can do, fine you for not having a permit?
Actually it's a misdemeanor and they take all your ducks, lol. Highly ridiculous but Florida takes their gaming laws very seriously.