Yes. RV's with a residential fridge also has an inverter and increased sized battery bank. Some add solar to help if they plan to boondock a lot or just plan to run the generator a few hours in the morning and a few more at dinner time.
The inverter can be a smaller (1000W ish) inverter just for the fridge but most have a whole house inverter (2000W or higher) that also powers the fridge. Having the larger inverter is good if you also have a larger battery bank as the larger inverters will have a much better battery charger to top off the batteries quicker if you do need to run the generator.