Hi @Hammer -
Yes...you should be able to perform a Quick Backup of just 1 computer in your Protection Group. You can read more about Quick Backup from the Veeam Agent Management Guide:
https://helpcenter.veeam.com/docs/backup/agents/quick_backup_start.html?ver=120
As it states, it is an incremental backup, not a full.
Also, a couple limitations exist, which you should already meet:
- There needs to be at least 1 full for the computer
- The computer must be protected by the Veeam Backup server
Go to Inventory view > Physical Infrastructure, click on the Protection Group, then rt-click the computer & select Quick Backup