It can! In fact, you can freeze it two ways. First, you can freeze the sugar cookie dough. To do that, make the dough and flatten it into a disk. Then you're going to wrap it in plastic wrap, place into a freezer bag, and put it into the freezer. It stays good for up to three months, then defrost it, roll it out, and bake. Second, you could freeze baked cookies. Let the cookies cool completely, then place them into a freezer bag and put in the freezer. They stay good up to 4 months.