Father of RPI CS major here. I too have a CS degree and another son at an Ivy.
Both kids decided to transfer to CS from another major.
Worked out so far at RPI, not at the other school.
CS fellow students and profs were much more helpful at RPI.
Handouts/notes in class more helpful at RPI.
Process to transfer was more clear and achievable.
All that said, both schools have some common killer courses where you do need to either code all night,or find smart friends to study together to survive. RPI has at least one required CS class that knocks some kids out of the major or causes them to take the course twice. Nothing is easy at RPI, in CS nor especially engineering. But you can transfer, yes.