Yes. Honestly, when you can do that, the thing you are doing cant be considered a game anymore. A game is supposed to have the same rules for all players (well, all players playing the same role anyway, as many games have nom-mirrored balancing (cant remember the actual word all of a sudden) of course; in football/soccer the rules for a goalkeeper is different from the other players. But for two goalkeepers it is the same).
And sure, by this definition, stuff like motor sport is usually not a game (some sub-genres in motor sport is, depends on how restrictive the rules on the hardware is). And I’d very much argue it isn’t. It can still be a sport. But not a game.