What file systems are on the source & destination drives?
Are these regular data drives? Or does the source drive have an installation of macOS or is a Time Machine backup drive?
If the source drive is a regular data drive using either the APFS file system or MacOS Extended file system, then make "Get Info" on the source drive and be sure "Ignore Ownership" is checked. Do not do this if the drive has macOS installed on it or is a TM drive.
If you don’t have permission to use files on a Mac disk - Apple Support
FYI, I also completely agree with @WheelieNick regarding "copying & deleting" versus "moving" since I have personally seen files disappear if the "move" operation fails and I have seen a number of posts on this forum as well where this has occurred to users. After it happens to you one time, you will never trust "moving" files again.