I don't think you can complete Racing.

skate, archery and climbing are free, likely rugby too idk how many notes you miss without the up in artistic swimming, but you can use the mouse instead and works so that's at least 5/7

table tennis would be a heavy RNG game on that, idk if it would be possible to win and racing would also need testing, depending of rng in the map and using wisely the powerup there could be a chance