You might be surprised. Various games have come with both. One iteration (the 3DS remake of Gold/Silver) even came with a pedometer that allowed you to level up by walking around: https://bulbapedia.bulbagarden.net/wiki/Pok%C3%A9walker
A long time ago they had the games that came with a "Pokéwalker", which was a pedometer that acted as a sort of mini-game, but that's the closest they got to a mainstream game where you have to get off the couch. It almost meets your specification (well, did, I'm sure the internet part is offline so you're not connected anymore), but it's obviously not exactly what you meant.
