connections required to play vintage Pong game on TV....

I have a switch box that suggests I can switch between the game and TV but that box has only one out line to the TV via cable (requires a VHF adapter). The TV itself has only one cable in port. Is there a way, or an adapter, to play the game and then watch the TV without having to disconnect one to play or watch the other? I've tried a cable splitter but all I can find are splitters with one input and 2-4 outputs.... Does anyone have ideas how to do this? Thanks!