No.
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no luxray cannot learn the move thunderpunch but he can learn the move thunder fang
it can you have to find a person
move tutor in second island
You can't. Only in the second generation (gold, silver, crystal) it's TM41. In Diamond and Pearl is their no Thunder Punch TM. You can learn Thunder Punch in Pokemon Platinum from the Move Tutor.
Hitmonchan learns ThunderPunch at level 31.