Can I use an arbitrary webpage for my domain?

I have a domain of my own, and a little webspace from my university. What I would like to do now is to upload my webpage to my university account, and then point the domain to that page, without using redirects or frames (i.e. if you’d go to mydomain.com, it would show the exact same contents as it would when you’d visit myuniversitysdomain.com/myaccount/page.html). Is this possible, and if so, how?