Yes, you can store gluten free fudge in the refrigerator. Make sure to save the fudge in an airtight container, lasting up to 1-2 weeks. Air will dry out the fudge, losing its texture and not taste as good. You can also store the cookie dough fudge in your pantry or freezer. This is a terrific recipe if you are looking for something that you can make ahead of time and serve later.