I would pick a major that seems interesting to you and go from there. If engineering interests you, that’s a great choice. You can do a variety of professional programs with an engineering major (including med school or pharma type stuff).
If you don’t like biology, I don’t think you’ll enjoy being a physician. The best physicians I know all have a sharp curiosity for and delight in biological processes (even anesthesiologists), and that career is certainly not the right fit for most people.
ChemE is a great major in general, by the way. If you’re drawn to it, you can give it a shot. If you don’t like it, you can transfer into just about any other STEM major pretty easily.
The difference between chemistry and ChemE is a different topic. The short version is that a chemist would develop the drug. A chemE would figure out how to produce it and scale it up. I think you could accomplish your goals with the ChemE degree since you could get into pharma without a PhD. For those that take the chemistry path to a pharma career, a PhD is typical.