It may not. Not necessarily because you’d have zero chance of admission, but just because there are so many good alternatives that are (a) somewhat less selective, and (b) just about as good (or frankly even better) for undergraduate education. The 8 Ivy League colleges are very good schools that tend to offer very good need-based aid. However, they are not the last word either in quality or in affordability for all good, middle class students. Your “search space” easily could amount to 8 X 8 good schools with good aid. Now you need to find the boundaries of that space in terms of the kinds of schools with the kind of aid you need. I like to start with the ~60 “full need” schools … but the right search space for you might be more focused on merit aid, or on lower cost state schools.
Keep in mind that 7 of the 8 Ivies started out as, basically, small liberal arts colleges. They evolved into bigger research universities not because that was necessarily the best model for undergraduate education, but because that was a model that better met the needs of the local and national economy (which needed the trained experts provided by med schools, law schools, business schools, ag schools, etc.) So – unless you’re after a specialized pre-professional credential (in ag, nursing, business, engineering etc) – keep those small schools in mind. Many of them offer good aid (n-b/merit), as well as smaller classes than any of the 8 Ivies.