Maybe yes, maybe no.
It all depends on how much the "10,500lb dry weight fifth wheel" REALLY weighs loaded and ready to camp.
It all depends on how much payload your truck has left.
10,500lbs is going to be 12,000lbs by the time you're loaded for camping. That's an awful lot behind a 6.0L gasoline engine even considering the 6-speed transmission.
Your pin weight is going to be in the 2400-3000lb range, plus 250lb for the hitch in the truck. That will max out the stock rear tires on the truck, and it will likely require airbags or helper springs. It will almost certainly be over the GVWR of the truck.
Even not knowing the exact weight of your truck and the payload it has left, a 10,500lb dry 5th wheel is going to pretty much be at the truck's limits, and your limits in the patience department as well.