Depends exactly what you mean by “aid”. Need based aid should be roughly the same (bear in mind tuition differs across schools so that could impact it). As pointed out above, NYU usually does not meet full need.
Merit scholarships that go to the top x% of the intake will differ both in amount and who gets them (as in, your grades may have you in the top x% for school A but not for school B, schools will have different amounts of these to allocate, etc ).