I take it you're applying to 2+2?
So, here's the deal with consulting companies. For the biggies (McK, Bain and BCG) at least, it's harder if your school is not on their "elite" list of campus recruitment. But it's not impossible. Engineering graduates are welcomed, I think, because of their practical outlook. However, there are a zillion tests and interviews before you get in. If you get into 2+2, McK might be a really bright option as they love HBS peeps.