Transferring From Cambridge, UK to US

Hi, I am a first year Natural Science Student (Phy, Chem, Maths, Comp) studying at University of Cambridge.

I am on track and hopefully will be getting a first or a high 2-1 in my tripos.

I am considering transferring to a US university probably Ivies, UChicago, MIT etc

Do you have any experience on what the process is like? Is it possible to do so?

(I am a US citizen)