I konw a guy who majored physics and got into bioengineer graduate program, because he's good at math and computer science. And he went to a biochem lab at his first grade in college.
I have to say you should have a second thought unless you are rich, don't worry about your life and really really really in love with biology and you are pretty sure this love won't fade in next at least 10 years.
I know so many people who majored biology and now working in a totally unrelated area. I am one of them.