2 routers in one house?

I just moved into a new place with cable internet. I'm living on the third floor and the wireless router is on the second floor. I have a desktop computer that I would like to hook up to a wired connection, but it is too far away from the wireless router to run a cable.

My room has access to the cable, so in theory I could put the router up here but my roommates would rather the wireless router stay where it is. Is it possible for me to buy a second router and hook it up to the cable in my room so I can have direct, wired access to the internet without interfering with the wireless router downstairs?

Thanks!