You'd be ok if it is frozen and little to no snow. Definitely not as fun as on a fat bike though, as you can't really get into the sandy/ loose areas that are fun to ride. By the end of the Winter last year there was basically a single track trail out to and around the island, but if it snows or starts to get soft, anything less than 3.8" (Krampus can't do it ) and it gets pretty tough going.

It comes down to how much fun you want to have; fat bikes make it much more awesomer.