No, story goes people had them as pets and didn't know how big they grew and set them free. I know some one that lived in Panama that ate them. He said folks in the Caribbean Islands they also eat them.
In Central America, I've heard them referred to as "chicken of the tree." I saw their tails over more than one B-B-Q fire in my travels.
While they make good photo subjects, especially when "in their color", I hate them being wild in Florida, because of the potential destruction of other species. (Look up the Brown Tree Snake and Guam to see possible ramifications.)
There is a new program to try to capture them in the Florida Keys, but I doubt that it is going to take care of the issue. What is needed is a really good cold snap to take care of them naturally, and that is unlikely in South Florida and the Florida Keys.
Wayne