I am going to stick my neck out here. A 1,000# lift for a 5,000# forklift is way inside its safety limits
UNLESS
you get it way out on the tips of the tines, tilt forward all the way and drive around, or lift the load way up in the air and drive around.
I think that the OP could extend the forks, tilt back all the way once the load is picked, and safely place it on the truck if the truck would back under the load and not move the forklift.
I would further stick my neck out, and say that on level ground, he could make the pick, lift it to truck level, drive forward to the truck, lower the load, tilt forward, and place the pallet.
I WOULD FURTHER STICK MY NECK OUT by saying that I would drive the forklift IF it were on level solid ground of asphalt or concrete, and the bed of the truck was not more than chest high to a man.
The danger of bending of the tines would only be when an operator is attempting to lift a heavy load with the tips of the tines. I have bent good tines this way. But fully inserted in a pallet, the load is going to be on the good and thick part of the tines. The tipping of the load forward would only occur when the load is tilted forward past the centerline, the load limit is approached, and 20% of the load capacity is not critical.
ALL THAT BEING SAID, I recommend that the OP buy the correct set of forks, and use the correct set for the use intended. But you still got to watch. You can put too long of tines on any machine, but a 6" to 8" distance is not that much.
Steve, who has thousands of hours on a forklift.