The other day I realized that I know a lot of people with pets.
The residence halls don't allow anything with dander. So basically you can only have a fish in the dorms.
However, once you move off campus, there are many landlords who will let you have a pet in a rental house. Some make you put up and a slightly larger deposit, but if you have a pet you want to bring with you, you can just look around for leases that are pet friendly.
Here are some pictures of pets owned by me or my friends.