So many people take this path but I will say with caution. Biomedical engineering is really tough and I think most programs require a masters. Some schools have a BS/MS - 5 year program.
The problem is the ability to keep your GPA at like 3.8. That is very hard to do for any engineering discipline especially Biomedical. Lots of engineering schools the 4 year GPA is like 3.3. Most companies want you above a 3.0 and some don’t look at you unless your a 3.5.
But some do it, but it will be challenging.