Sorry i had misinterparted your hint, and it was the only pokemon i could find that matched your hints
So a stab in the dark togepi?
Actually that's really close, It's Togetic.
-2 Types
-2 Abilities
-Only learns Double-Edge, at a move that could do actual damage, (or Metronome if you want to count it as well.)
-Can't be found in Emerald.
There you go.