You know, I don't see why not but it would be more like the Pokémon Claiming Thread of this forum. You could try to make a club based on a specific generation, like Hoenn or Jhoto or Kanto. This would allow players to join that club and select any Pokémon of that specific generation, wild or not.
You can make a club on your tablet. It isn't that tough. Check out a few other clubs and you'll find out how to make one and what to include.