Is it possible to use Disk Drill to scan My Cloud Home?

I have just moved to a new Mac and I used this My Cloud drive for Time Machine backup. After transferring all my data I erased the drive via
Unfortunately there were some files within one directory that I had forgotten I excluded from from my TimeMachine backups.
Is it possible to recover the data somehow please? I’ve removed the drive from my network. I’m running Big Sur at latest version. I have Disk Drill.

Not sure, because unfamiliar with SMB or other connection methods. I assume the data is irretrievable, but would like to know for sure before I reconfigure.