No! fatCoffee is made from ghee, coconut oil and powdered goat milk - all ingredients which are shelf-stable and do not need refrigeration. The typical shelf life for these ingredients, and for fatCoffee in general, is 12 months. But take a look at the expiration date on the packaging your receive.
Note that you can refrigerate fatCoffee, just note that the oils will harden if you do. This doesn't affect the taste or nutritional content of fatCoffee, but it does mean that it might take a bit more time for the mixture to melt when you add it into your coffee.