That is not correct. Science can, and has, examined the supernatural. For instance:
Intercessory Prayer for the alleviation of ill health | Cochrane
Please elaborate on what you believe is the fallacy of composition committed by Darwin and every other evolutionary biologist that has come after him for the past century and a half. TBH, I am highly skeptical that such an error could have been committed for that long with no one but you noticing.