Maybe.
If the refrigerator is Plugged in to a traditional outlet (most likely) then the outlet is most likely energized by the inverter. If the TV is anywhere close to the outlet then a simple extension cord will get the job done. A test should be done with the refrigerator compressor running and the TV on to make sure you do not overload the circuit. With a modern TV I think it unlikely that would happen but the RV manufacturer may have just put in a large enough inverter to run the fridge with no reserve.