You have to use the HM surf It does not learn surf by leveling
No, Togepi cannot learn Surf.
No. Seviper cannot learn surf.
Vanillite cannot learn Surf.
One can learn how to surf from websites like About, Away, Lajolla Surf, Surfing Waves, Learn to Surf, wikiHow, Surf Science, New Quay Surfer, Surf Noosa and Dano Surf.
Slowpoke does not learn Surf by levelling up, but it can learn Surf via HM in all generations.
YES! It is a water Pokemon and can learn to surf.
No, it cannot learn Surf.
Yes, Marill can learn Surf.
Yes, Zigzagoon is able to learn Surf.
Manaphy cannot learn Surf but it can be taught it via the Surf HM.
Although it is steel/rock type , it can learn surf. There is no reason why Aggron can learn surf or not. It is what the game creators decided.