Yes, Microsoft Project is licensed campus-wide for Windows, as part of the University's Microsoft EES Agreement.
If you use the IT Services Managed Windows 7 Desktop, you can request access via the ITS Service Desk.
If you use an unmanaged University machine, you can download from here.
Staff can request a copy for home use via the Work at Home process described here.
Microsoft Project is only available on Windows but there are some alternatives for Mac users.