Answer 1

Other than Smeargle, No. There are signature moves, or just non-compatibile moves. Definitely NO

Comments

DT: Why did you do it? :D THX

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If it's something small like that, I won't vote people down  I just fix it myself. I rarely vote things down because most things I would vote down I would just remove all together.

Answer 2

No, unless if you teach it one or cheat(not reccomended ruins your game.)

Answer 3

Mew can learn all Psychic moves.

Mew can learn EVERYTHING!!!