Biomedical Engineering and dance?

Yes, absolutely! Send some emails to the heads of the dance departments and ask some questions. It’s not always easy to get that info from the website. Just as an example, I looked at the website for U Cincinnati and couldn’t find anything about non major participation. I had a friend who attended there a long time ago and was able to participate quite a bit as a non major. If you can visit that would be great, that would give you the best opportunity to see what the dance departments have to offer and would give you the opportunity to meet with someone to answer questions. Certainly start with emailing, you can get a lot of information and maybe focus your search.