Do I need to have taken physics in high school to major in bioengineering at a top tier university?

“and maybe Harvard bc why not haha”

“Because Why” is really the question you ask yourself for any school. There are plenty of reasons not to attend highly ranked schools. UCB has the largest classes in the US and undergrads are tasked with teaching other undergrads at Harvard to cite two examples.

The schools on your list are VERY different, unified by a single thing, reputation. Dig deeper. It’s your 4 years and your family’s money.