One thing to be aware of is that the path to becoming a physician is long (BA/BS+MD+residency = 11+ years before getting to work), expensive (beyond undergraduate costs, add $400+k for typical medical school unless you get into an in-state public) and involves passing one or more elite gateways (most obviously getting into any medical school, but also if your specialty is popular, matching into that specialty residency).
On the other hand, working as an engineer requires only a bachelor’s degree (4 years and bachelor’s degree costs), and a 3.0 college GPA is the typical cutoff by employers deciding which new graduate or intern applicants get interviewed first.
Chemical engineering does have significant overlap with the typical pre-med courses (math, physics, general chemistry, organic chemistry), although a chemical engineering major doing pre-med may have to supplement the major courses with additional biology and upper level biochemistry and genetics courses.