No, you can do it by breeding too.
ATTACK + natures (For Hitmonlee)
Lonely, Brave, Adamant, Naughty
DEFENSE + natures (For Hitmonchan)
Bold, Relaxed, Impish, Lax
No change (For Hitmontop)
Hardy, Docile, Serious, Quirky, Bashful
If you level these nature Tyrogue's up normally, they should evolve in to each one.
That's not the whole story though. IVs complicate it a bit further.
You can EV train, though, and while it won't be significant differences you may see enough of a difference at such a low level to get the Hitmon you want.
Yeah, I didn't wanna start throwing terms like IVs, EVs and DVs out there. That's when casual fans brains begin to ache.