Offhand, my gut says no. I was pulling a 26RBSWE (400 pounds heavier, dry; CAT-scaled tongue weight 1260) with an F-150 (payload 1726) and I was substantially overweight; I had to upgrade to an F-250 (3460 payload) to make our numbers.
I recommend
this planner to people going through this exercise. It requires some bothersome data gathering, but it gave me rock solid numbers.