Ironically it’s almost the opposite! Any college in the country can teach the dozen or so courses required to apply to med school. It’s up to you to get good grades, get to know some profs, study for the MCAT, get experience in a health-care setting. Anyone doing this has a strong shot at med school. It’s when you need to network to find a job or want to work in a career where employers are betting on intangibles of their college-grad hire that the Ivy pedigree can help.