Trying for optometry and med at the same time?

Hi!

This is kind of a testy question, but I was wondering if it is legally alright to apply to both optometry school and medical school (MD / DO) at the same time?

I work at an eye clinic, so that was something one of the passing doctors recommended to me. In his opinion, you can cash in on both experiences and I do enjoy eyes.

How feasible is this? Would there be any consequences if I cancel one of the other if I get into both careers?