Bound to Prospective Majors in the Ivy League?

Are you forced to “follow through” with whatever prospective major you put on your application at Ivy League schools? I know that at Yale, you’re not bound to do say engineering even if you apply to the school of engineering in your application. This works at Harvard too, as you declare your actual major at the end of sophomore year. Does this work for all the other Ivies too?

Columbia, Cornell, and Penn admit by division (arts and sciences, engineering, etc.); students changing to a different division may have to apply to change, possibly with GPA thresholds or other criteria.

Also, some majors (e.g. Harvard visual and environmental studies) may be restricted ones requiring meeting a GPA threshold or application to the major when declaring it.

@ucbalumnus thank you!