FWIW was friends with a transfer at Stanford who came from Princeton. It has been done before, but transfer rates tend to sit at 1%.
They hated the culture at Princeton (3.9 gpa fwiw) and absolutely loved their time at Stanford (4.0). You do you OP. I hail from the NE and went west for UG, back to New Haven for grad school - there really are big cultural differences across this huge nation of ours.
Apply broadly, transfer admit rates tend to be markedly lower across the top 20 vs frosh acceptance rates.