Yes, It is possible. You can use SnapCenter to split a cloned resource from the parent resource. The clone that is split becomes independent of the parent resource.
For example, after you create clone1 from a database backup, you can create a backup of clone1, and then clone this backup (clone2). After you create clone2, clone1 is an intermediate clone, and you cannot perform the clone split operation on clone1. However, you can perform the clone split operation on clone2. After splitting clone2, you can perform the clone split operation on clone1 because clone1 is no longer the intermediate clone. When you split a clone, the backup copies of the clone are deleted.