>>51287306>there are no Fire-types that can learn Surf.The same is true for Grass-types—none of them can Surf.
When it comes to Water-types, there actually is one for every HM, but not all of them are available when you need them. The only Water-types capable of learning Cut are catchable only after you've beaten Lt. Surge, whose gym requires Cut to be accessed in the first place.
No access to Cut: Ice, Rock, Psychic, Dragon, Electric, Fighting, Ghost
No access to Surf: Fire, Grass, Bug, Ghost, Electric (sans Surfing Pikachu)
You could also beat the game with only Ground-types, only Normal-types, or only Flying-types if you wanted—but you'd have to ignore the fact that none of the starters belong to these types.
