The real question you need to ask yourself is whether you want to be a doctor or an engineer. There are many majors which can lead to medical school. Biomedical Engineering is one of them and it is not necessarily the best one. In my opinion, Biochemistry might be a tad better for pre-med. Engineering degrees are usually a bit more challenging in terms of the difficulty of the courses and the lack of free electives. Biomedical Engineering is no exception.
However, if you are truly interested in Biomedical Engineering and you are considering it as a career, then go for it. You might have to go to graduate school to find a career in the field or you might end up going to medical school anyway but if it is real option for you then no problem.
The biggest problem is that many students think that a Biomedical Engineering degree is a surer way into medical school. This is a fallacy because if the students don’t really like engineering, then their grades will suffer and make it harder to get into the school they want. Instead, with a less demanding major, you can have some time to do the other things that will help your medical school application.