Tectonic activity bends rocks all the time, even hard ones like granite. That takes a ton of heat, pressure and time. It also makes sense that in the right conditions, sheets of rock simply don’t have the room to shatter so they must bend.
Have we been able to do the same in a lab and would it have any commercial use? Bending a random bit of hard rock would be an interesting novelty, for sure.
Creep is the mechanism you refer to. Yes absolutely scientists can replicate creep in the lab. You too can at home by leaving butter on the counter and watching it bend under its own weight at room temperature after a few days.
At about 1/2 or 2/3 of the melting temp and above, materials start to behave kind of funny.