You can, but the parameters will be really weird so you'll have to make the search range a lot wider when you find them.
Check out Smogon's new Doubles
Black 2 FC:
My Pokécheck Pokémon
RNG is kind of like firing a gun. Why shoot blindly in every direction until you're lucky enough to hit the target when you can just take the time to aim properly and hit it with one shot?