The issue is whether the screws will back drive without the resistance of the motor. I would say probably not, but unknown and I would not risk it.
I also would not hitch up to the truck. I would support the trailer with jack stands or blocks. You don't really want to work in there with the truck in your way, do you?
2006 F250 Diesel
2011 Keystone Cougar 278RKSWE Fiver