Oh yeah; much like catfish, talapia, and shrimp, alligator farming is a fairly common for meat and hide; from where I am sitting, there are 3 alligator farms within a 45 minute drive; the one I am most familiar with has somewhere the other side of 5,000 alligators at any given time; they have regular food service and leather contracts just like any other livestock producer, and right now the tail meat goes for around $6-$7 a lb locally in 5lb frozen bags;
They are actually pretty easy to farm, since they don't require a lot of land, can be fed on a schedule, you don't have to grow anything special for them to eat, nothing predates them in the farm setting, and they don't get sick the way a lot of other animals do, so the mortality rate is very low compared to a lot of other things;
I know that in Louisiana and a couple of other places they still do a bit of wild trapping on a commercial basis (see Swamp People) but the vast majority of alligators harvested for their hides and meat are farmed, even in Louisiana.
