It depends on the design of the back. I can't answer for RB67 backs, but usually the film plane is determined by rails on the emulsion side of the film, not the pressure plate, and not all medium format film base is the same thickness in any case, so the backing on 120 film shouldn't cause a focus problem in a 220 back, but there could be other problems like excessive film tension causing more wear in the back or even the risk of the leader tearing in backs with particularly high tension.
On the other hand, 220 film in a 120 back is likely to have flatness problems, depending on the style of pressure plate, or may be at greater risk for scratches on the base side, because the pressure plate in a 120 back doesn't have to be as smooth as the pressure plate in a 220 back, and then you may lose a frame somewhere, because the frame counter is designed for 120. In a Noblex medium format camera, for instance, you can use 220 per manufacturer's recommendation, but you lose a frame or two in the counter restart. Some backs may not let you restart without opening the back.
Zeiss published an article in Zeiss Lens News a few years ago claiming that 220 film in 220 backs that they tested generally had better film flatness than 120 film in 120 backs. I don't think they tested RB67 backs, because they don't make RB lenses, but it was an interesting observation.