There is a tiny freezer thing inside but it is not great. It's not real good keeping things frozen, especially ice paks. What you might want to do, we do this with bottled water--just put a few at a time in there and keep the rest in your room, as you drink one just replace it with another.
Another thing to think about while you're there is their refillable mug. I believe it's $10 and everytime you come back from somewhere you can stop by Tubbi's and refill it, (I just can't remember if they're Pepsi or ....Coca Cola...eekks).