Yes. Again, haven't looked at any numbers, but I'm sure you would be. Load your truck up with normal camping stuff (firewood, family, maybe cooler) and weigh it. That subtracted from gvwr posted on the door jam will tell you for sure what you can still haul.
Then, it's up to you. I'm over on my gvwr, but under axle and tire ratings and feel very stable and safe pulling, hauling, and most importantly, stopping my fifth wheel.
Joel and Teresa
2016 Sabre 34TBOK
2006 GMC 3500 CC LB DRW 4X4