Barely at best. What is your trucks scaled ready to camp weight minus the trailer?
With a short bed truck you will want a slider hitch (350 pounds) so there goes part of your available pay load. Subtract for every pound in the truck above a 1/4 tank of fuel and one 150 pound driver from your advertised payload. Now your down to maybe 1000 pounds of payload before you exceed the GVWR number as posted on the drivers door post.
Still think your truck will handle it OK?
Your big bugaboo is payload and pin weight. A fivers pin weight can generally be around 20% of it's ready to travel weight. Since you don't have that number at hand, use 20% of the trailers GVWR as your pin weight estimate. You may never load to the trailers GVWR, on the other hand you will guaranteed NEVER see the trailers dry weight in your lifetime.