I don't think so - I only saw some off brands but I wasn't really looking - I had brought my own. Belize customs didn't say much to us, the airport was packed and they were just trying to shuffle people through. If you buy alcohol though and are taking Tropic Air over to AC, make sure you try not to carry that on - I wasn't even thinking about it and had to go back to check in, tell them what TA flight we were on, then one of the guys met me on the other side with our booze (I wasn't expecting that). We were also an hour and a half late for our TA flight and they still got is to AC that night.

Live Laugh Love