I assume you're talking about medical school? If so, where you go is basically insignificant. It might matter a *little* bit, but your Step 1 score, evaluations in your 3rd and fourth year, letters of recommendation, and basic science (first 2 years) grades matter a whole hell of a lot more. The only way I can imagine school pedigree making a difference is if 2 very similar applicants with nearly identical grades and credentials came up against each other. In that case, the Harvard guy might have an edge over the Arkansas guy or whatever.
Your college is completely irrelevant to your chances of getting a residency.