Not automatically, you would have to use two slots on your Ucas form, and both departments would consider you separately. But you have to write a single personal statement to cover your interest in both courses. Bear in mind that if you’re thinking of doing Biomedical Sciences as a precursor to medical school back in the US, that may not work out; US med school like to see the prerequisite courses from a US university, regardless of the quality of the non-US university/course.
The grade requirements are really just a starting point (and you may find getting a high score in BMAT is a bit tougher than you think). For medicine you will also need some volunteering experience in something relating to patients; a strong reference; and to perform well at interview (if shortlisted).
However, I have to agree with those who say that if your end goal is to work as a doctor in the US, a US medical school is the best route.