Midnight Commander - text based shell with mouse support
Web Based File Manager? - General - openmediavault
How to Use Midnight Commander, a Visual File Manager | Linode Docs
Others solution: File Browser (can only set one root directory, eg. home), CloudCMD (Docker), Krusader (Docker)

Installation:
sudo apt install mc
sudo apt install screen

Basic use:
(open a SSH shell)
screen
mc
(start moving files)
(close the connection to the SSH shell, possibly turn off the computer)
...
(open a SSH shell)
screen -r
(check if mc is done)
(close mc)
exit