Not normal, but on a good day you can catch anything, including bonefish (ask Maggie Gray), to Sailfish, to Blackfin Tuna.
Mostly it'll be catfish, Bluefish, Spanish Mackeral, Whiting, and Redfish, Pompano plus all the small shark that haunt the beach.
By the way, look for and set up at places that look like they go out further along the beach line (runouts). The longer parts of the scallops that the beach produces. The current runs faster there and the fish will be waiting to ambush bait in the faster moving water.
The place where waves consistantly break "last" on there way in...