Would it ok to refrigerate the cookie dough now for tomorrow?

I am making sugar cookies for Easter. I planning to make two doughs. And on teh recipe to refrigerate for two hours. The dough wrapped around wax paper. If I make on dough this morning would it still be fine to use tomorrow when I am to start making them. I plan to do another dough tomorrow morning. I wonder if it would fine. I be leaving soon to go to a birthday party that an hour away.. Thanks