Would my fridge be causing the 20amp gfci to trip
The fridge is most likely tripping the GFCI. Most folks recommend not plugging refrigerators into GFCI circuits, for this exact reason. 

Refrigerator manufacturer's still have trouble controlling current leakage, and most of them are basically ignoring the problem. One day the manufacturer's will be forced to address the problem, but until then they'll likely keep tripping GFCIs.

Either run a non-GFCI circuit to plug the fridge in, or find a manufacturer that doesn't have the problem, and by a fridge from them.