Yes, you can associate your Microsoft Office installation to your AUP Office 365 account by following the procedure below:
1- Open one of the Microsoft Office applications (i.e. Word)
2- Go to File -> Account, then you will be able to visualize / verify the software version on your right hand side (see image)
3- Sign out from your existing account
4- Sign in with your AUP Office 365 account
If your office version is older than 2013 , then you will have to uninstall your old version.
To do that please follow the instructions on the link below:
Need assistance, stop by IT service desk, or make an appointment by contacting firstname.lastname@example.org