No. The accepted definition has nothing to say about the supernatural. It neither includes or excludes it. Only narrow-minded ideologues like yourself are inclined to fabricate a definition of science that suits their fancy.
Dude, if you think that "science" includes the investigation of the supernatural, then you are delusional. (I guess palm readers, ghost hunters, priests and pastors are the same as chemists and physicists. LOL... Witch doctors are just like regular doctors, right... LOL.)