Ken,
Yes, the driveline will bind up if there is no slippage at the wheels and the curves are tight enough. This condition can break something. However, driving in 2-low can also break something.
My hill is paved and has some curves, but they are mild and I can use 4-low without any problem. If I had experienced binding, I would have to use the long way around that doesn't involve such a steep climb because neither of my trucks has a 2-low feature.
Deezul1's suggestion to use 2-low and drive VERY carefully is a good one. Don't punch the throttle or you could easily break something.
I often drive on pavement in 4WD. If it's wet and slippery, I will often shift into 4-high and drive on. I have rarely experienced binding in the drivetrain. It's very obvous when it happens, and I could probably just power through it, counting on the tires to slip. So far, I have gotten away with this technique, but it may not work forever.
Driving in 4WD creates slipping forces at the tires. If the road bends gently right, then left, then right, etc. , these forces do not build up sufficiently to cause the drivetrain to bind. A sharp turn, however will bring me to a stop, or cause skidding of one or more tires.
The friction force between the tire and the pavement depends on the coefficient of friction (gravel is lower than dry pavement, for example) and on the weight the tire is carrying. If your truck is heavily loaded, on dry pavement, in 4WD, and turning, you could be in trouble.
Loren