It might do it but you risk serious damage to the transmission and drive train. If the Dodge is a 4x4 and you're on dirt/gravel selecting 4-lo might help the engine stain. I'd worry more about the transmission, u-joints and differential more though.
If you're talking fairly level ground, and you're careful, I don't see a problem. Remember, the towing ratings for these vehicles are for highway speeds, and have more to do with stopping the load than moving it. You're talking about making very slow movements within a yard. Use the lowest gear available to you, and take it nice and slow. Make sure the tires in both the trailer and the truck are inflated to their maximum pressure. Move anything you can inside the home as far to the rear as possible - this will lighten the tongue weight. Since you're not going very far, the lighter the tongue, the better (forget the 10-15% rule here).
If your truck is a 4x4, pull the vacuum lines off the front axle CAD and plug them with golf tees, then engage the transfer case in low range. This will give you 2WD low, which will let you make tight maneuvers and still get the extra gear reduction.
MotorsForum website is not affiliated with any of the manufacturers or service providers discussed here.
All logos and trade names are the property of their respective owners.