i am a student in engineering UNSW. The exact procedure is very hard to explain within the scope of economic procedure. Although transferring to UNSW may yield lower short term variable costs, it may be problematic due to the "Social effect" , which entails that engineers are unable to socialise properly and affect the world with their non-Physics background. My suggestion is to transfer to Harvard as I hear they allow backdoor entry if undergraduates have a minimum of pass average. After completing the engineering at harvard, you can go to UNSW engineering to widen your knowledge on engineering.