No, it's not possible to move filesystems between NAS servers.  What you're trying to do would need to be done at the host level.
Is it possible to move a file system clone object to a different NAS? Marketing/documentation I found ([URL] suggests that it may be possible because 'there are no dependencies between objects', but I cannot see any support for this in the management console or the command-line interface documentation. This is on a PowerStore 5000T running PowerStore OS 2.0.1.3 and operating in Unified/SDNAS mode. What I am trying to achieve is duplication of a file system a production environment (Active Directory domain A) to a pre-production environment (Active Directory domain B) using the PowerStore's iCDM capabilities. There is no trust relationship between domains A and B. If moving file systems/clones between NAS devices is not possible:
How to move a file system to a different NAS