Yes I think so... though it should say when you add the TM to him
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At level 31, Lapras learns ice beam. OR you can breed a female lapras with a male poliwrath that knows ice beam. OR you can teach the Lapras at any level the TM 13 ice beam. Ta Daa, answer!
dragonair can learn ice beam any level
Lapras will learn Ice Beam at level 31.
It doesn't learn Ice Beam by level up. It can learn it by TM13 in all generations though.
yes, it learns ice beam at level 35