Med schools LOVE bioengineers, because they realize that some of these bioengineers who go to med school will wind up designing the new medical devices/medical inventions of the future. They know that engineering GPAs are usually a little bit lower than other majors. You should choose to study whatever you really love, whatever you can do well at. Bioengineering does have the added benefit that, should you decide against premed (and many start as premeds, finish as something else), you would be highly employable as a bioengineer.
I majored in an obscure family of languages and comparative linguistics. The med schools LOVED it, that I wasn’t yet another Bio major. I have heard that music majors are accepted at a higher rate than any other major. Med schools want human beings. They can teach you medicine - they cannot teach you to be a decent human being.