Is it possible to dive nearby Pemuteran?

Yes. Diving and snorkelling is excellent at the Island of Bali. Pemuteran is small village nearby the ocean. Visibility is excellent and there are reef fishes, turtles, and hard and soft corals. Pemuteran is home to the largest artificial Biorock reef project in the world and there is a real spirit of marine conservation effort in this area! You may want to get up early and see dolphins.
You can charter a boat easily from the beach. There are a lot of PADI accredited dive operator in Pemuteran.