Can I use Caterpie's "Pupate" Ability or Metapod's "Emerge" Ability on the first turn of the game or the turn that the Pokemon came into play?
Yes. There is no restriction on the Ability.
EmergePupate



x2Pupate
Once during your turn (before your attack), you may flip a coin. If heads, search your deck for a card that evolves from this Pokémon and put it onto this Pokémon to evolve it. Then, shuffle your deck.

HookCan I use Caterpie's "Pupate" Ability or Metapod's "Emerge" Ability on the first turn of the game or the turn that the Pokemon came into play?
Yes. There is no restriction on the Ability.
If I use Caterpie's "Pupate" Poke-POWER to successfully evolve into Metapod, can I then immediately use Metapod's "Emerge" Poke-POWER to attempt to evolve into Butterfree, all on the same turn?
Yes, you can.