One way of unscrewing the chuck would be to clamp a piece of hexagon bar in the chuck, and apply a socket and bar to the hexagon. A sharp blow at the end of the bar may well slacken the chuck.
A slightly more brutal method would be to clamp a piece of wood across the chuck jaws, and hit the end of that, to slacken the chuck.
In both cases, the inertia of the spindle and motor should provide enough resistance to allow the chuck to slacken.
The standard advice given for any lathe where the chuck screws on is never to run the chuck on under power.
Having been run on by hand, it will tighten in use.
Control boards seem to last longer if the lathe is always started with the speed control set to Zero
HTH..