Can I go to a Mechanical Engineering graduate program with a BS in Neuroscience?

Thanks for the reply.
I think I mentioned that I did and I am still trying to work something out with my college. However, so far their response to my situation is that, “according to our college’s policy, you are not eligible to do a change of major as a sophomore student.” This is really frustrating since I do meet all the change of major requirements of the engineering college at my school (calculus, physics) with really good grades. I am asking this question just in case that the worst situation will take place.