It can be done but is not the fully automatic solution most drop devices aim for but also not too difficult.
Set up.
Fairly dark room
Camera in manual mode with a longish shutter speed. Half a second to a second is usually good. If the room is pitch black then bulb mode can be used.
Flash(es) attached to the drop device and triggered by the drop device.
Manually trigger the camera, then start the drop device, wait for the sequence to finish, close the shutter.
This is a fairly standard high speed photography technique and there all manor of flash triggers that can be used not just a drop device.