Alakazam cannot learn any HM moves.
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No. Froslass can't learn any HM moves. She can only learn TM moves.
TM 1,3,6,7,9,10,11,13,14,15,17,18,19,21,22,27,31,32,42,43,44,45,46,52,53,56,58,60,68,70,75,78,82,83,86,87,90 and HM 3,4,6,7,8
No.Magikarp cannot learn any TM moves if it evolves into gyarados then gyarados can learn TM moves and HM moves too. I Hope i helped you!
He can learn: Harden Boner Club Cock Smash Selfdestruct
Well not every Pokemon can learn all the hm moves, try tropius.