As mentioned - a lot of opinions will come flooding along on both sides. Since you don't own the trailer, the best thing you can do is calculate with as true a sense of numbers as you can. As others have said, your major limitation is payload. In addition to considering the question of who/what else will be in the truck, the nature of the TH is key. The dry hitch weight is at about 14%. Where is the cargo area? If it's in front of the axles, your proportional TW will spike when loaded. If it's behind the axles, the TW ratio will actually drop (note that I said TW ratio, not the actual TW!).
All in all, without a lot more info, it's hard to judge. At first glance, my sense would be that, if the cargo is behind the axles, you MIGHT be able to swing it if you are generally driving with a pretty empty truck and what you put in cargo is pretty light. If the cargo is over or in front of the axles, it is likely a non-starter!