As @Eeyore123 said, the short answer is yes. I’ll give you an example…Cal Poly. Students not only apply to a department, but to a specific major. They compete only against students who also want said major. They can’t change majors without a certain amount of coursework, and attending workshops. It’s doable, but it’s a pain.
The big question is what’s on the table for interests. If engineering is anywhere in the mix, engineering is so specialized that the clock starts ticking when someone switches. So, try to switch into engineering in third year, and you’re essentially starting back at ground zero as a first year. The exception might be physics to engineering, but then, maybe back to second year.