I had to bump this to say that I tried this and my game ended in the most unbelievable way. I only had one PokÃ©mon, my starter Abra, who was Ghost/Dragon, and had two moves, Comet Punch and Vicegrip, both normal. Got to Viridian Forest, tried and failed to catch a Mewtwo which would have saved my game from this broken mess...then I battled against a Bug Catcher with a Graveler...that used Transform to turn into Abra...and that was it. Our moves, being normal type, had no effect on each other (ghost type) and then once all the PP was used we got to Struggle, also normal type, also no effect, and as I hadn't saved up to that point so I had no choice but to end the game there.
The amount of misfortunes that had to occur for that situation to arise is astonishing, but I must admit I don't regret it for the amusement factor, and I only lost about 15 minutes of my life so I'll live.