I wouldn't. You are kind of back feeding the gas system and unless you're certain the pressure matches, you could be over pressurizing the campers stove and refrigerator.
I know my 23CFK with an external gas fitting for the stove that books on the camper side is regulated at to low of a pressure to properly operate my 3 burner camp stove and WeberQ.
For that reason ( I do all the cooking outside), I remove one of the dual tanks and put it back by my outdoor kitchen with a Y splitter and use the OEM regulators for gas pressure.