I believe my school (Syracuse University,
http://www.syr.edu) offers such an option. Pretty much they'll let you major in anything you want as long as you pay for all of the credits... and unfortunately, the engineering core usually has way different requirements than any business core.
I am currently a dual major between Computer Science (Eng. and Comp. Sci. college) and History (Arts & Sci.) - but I believe that you can cross between as many as you want if you talk to people in the appropriate dean's offices.