Can Pokemon on battle revolution get new moves?

Pokémon Battle Revolution is a game from 2006, and it's important to understand that it's not a live-service game like Pokémon Go. This means that the game's content is fixed and doesn't receive updates, including new moves.

Therefore, Pokémon on Battle Revolution cannot learn new moves.

The moves available to each Pokémon are determined by the game's code, and there's no way to add new ones after the game's release.