Yes, it is indeed possible to sync a Microsoft Zune device with multiple computers, but there are some important considerations to keep in mind. Each computer will need to be authorized to access the content associated with your Zune account. When you attempt to sync your Zune with a different computer for the first time, the Zune software will prompt you to authorize that computer using your Zune account credentials.
It is important to note, however, that you can only have a limited number of computers authorized to sync with your Zune device at one time. Should you exceed this limit, you will need to remove authorization from one of the other computers before you can add a new one.
Additionally, keep in mind that any media content that you have purchased or downloaded will need to be accessible on each computer in order to sync successfully. Therefore, it is advisable to maintain a consistent library across the computers you intend to use. For more detailed information, you may find it useful to refer to the support page for Zune services.