Happens to me moons ago !
what fedora you are running ?
does it happens usually or did it start suddenly ?
is you box running well ?
No errors, etc. ?
to see if errors: open a terminal and copy&paste in:
dmesg|grep -iEw 'bad|bug|conflict|corrupted|error|fail|failed|fault|fatal|Lock|NULL|segfault|stack|trace|warn'
dmesg until warn’ is ONE line !!!
the editor here in the forum breaks the above line into two -
what’s the output ?
are you sure your external disk is healthy ?
tried another disk / usb stick ?
is AHCI for your internal disk set in the BIOS ?
Did you try to copy/move files between two partitions on the internal disk  ?
same result ?
NO => it’s the external disk 
YES => it’s your box => (old) kernel, AHCI in BIOS, USB setting in the BIOS, …
NOT between two directories on the SAME partition
coping/moving files on the same partition does not mean a real file copy / move.
it’s just some pointer manipulations in adminstration unit of directories - sort of -
I got several Toshiba disk with damaged sectors in the past !