Heat oil in a deep-fryer or large saucepan to 350 degrees F (175 degrees C).
Mix cream cheese, shrimp, onion, garlic powder, and pepper together in a bowl. Place a spoonful of cream cheese mixture onto each wonton. Dampen the edges of wontons with water; fold edges over the filling and press together to seal.
Place wontons in the hot oil; fry until golden brown, about 3 minutes.