No. It depends on the Pokémon. Each different Pokémon will have a different Hidden Power type, even if the type is opposite to the Pokémon (Example: Volcarona having Water-type as a Hidden Power). In each game where the move can be used there's an NPC that'll tell you what type the Hidden Power of a Pokémon is, and these guys are usually near or in Pokémon Centers. I hope it helps!