Do you mean as follows:
1. Original VM have 2 disks.
2. Now while cloning a VM & I want clone of only 1 disk.
3. Once the clone is done, VM can be powered on provided if there are no dependencies on the disk which is not cloned.
At the moment, AFAIK, similar feature is available with vSphere replication where you can select the disks to be replicated from all the disk attached to VM & in case of disaster, VM will power on on recovery site but there can be some issue if there is dependency.