From Columbia's Financial Aid FAQ for prospective students:
Prospective Students | Columbia Financial Aid and Educational Financing
May I appeal a financial aid package if admitted?
YES, if your family’s financial circumstances changed after you submitted your financial aid application.
YES, if you have complicated circumstances, and you would like us to take a second look at how we interpreted your family’s financial situation.
YES, if another need-based school has provided you a different interpretation of your family’s financial circumstances.
NO, if your sole reason for the appeal is that you are asking us to consider merit-based offers from other schools.