Yes.
You can verify the cooling system by disconnecting the 110V heating element from the controls and connecting 110V directly to the heating element.
The cooling unit should drop to below freezing in both the freezer and the fridg when left over night.
I've done it several times and found applying power at ~4:00 pm and checking the next morning at 8:00 or 9:00 proved the unit. Some could take a full 24 hours.
You can measure the element first or if it doesn't drop below freezing, you'll then need to verify that the heating element is in good condition. Measure the current and voltage at the heating element connection and calculate the wattage.
Watts = voltage x current.
Compare that to what the element should be. You should be able to search online for info on the model of frig you have to get that info.
Joe and Evelyn