Yes you can do this with the native quota management. Log onto the servers console and right click on the drive and select properties. Select the Quota Management tab and set the settings as needed. This will prevent the users from saving more data than you specify to the servers drive and network shares which point to the drive.
Just remember that when you set disk quotas it is volume wide so the quote you set for a partition will be for the entire partition, not just a folder or share. You can read up more on it here: Microsoft Script Center.