Yes, a biomedical engineer can become a doctor.
The field of biomedical engineering involves the application of engineering principles to medicine, and it includes everything from working with medical devices like pacemakers and artificial limbs to conducting research on how technology can improve health care.
In order to become a doctor, you typically need to complete four years of undergraduate study followed by four years of medical school (five years if you're planning on specializing in an area like pediatrics or surgery).
You'll also have to pass a series of examinations along the way—including an MCAT (Medical College Admission Test) and any licensing exams required by your state.