Yes, but unnecessary. And those will also just be stiffer springs. The ride height adjuster adjusts ride height, not "stiffness."
the Moog springs plus Bilstein 4600's are about as close to ideally damped across a wide range of conditions as I've found. And I've tried more expensive stuff. They reject low frequency inputs (brake dive and cornering) and accept high frequency inputs (bumps, of most shapes and varieties) very, very well. My truck is *very* sedan like for a big body on frame creature.
I will tell you the biggest problem I had with mine when I got it was really the rear springs and shocks. They were soft enough that the rear would bottom out, which upset the front a *lot.* Even expansion joints could be a problem, and it could be a handful when it happened mid-turn at speed. Air bags were a good intermediate step, which got even better with the 4600's. The Moog springs make it to where you don't need the air springs (I keep 0 psi in mine now).
Bonus points, since the 4600's were designed around a linear spring, the rear end of my truck is even more settled over big bumps. Air springs are by nature progressive, so if I hit something really big, like a two or three inch square bump on the highway where they were stripping asphalt or something, it would bounce a bit more than I'd like. Now it stays under control throughout the travel, at all speeds.
Anyway, you may also have something else going on. Could be a really badly seized bushing, a worn tie rod, or something. Try Googling how to check tie rods, wheel bearings, and ball joints, all of them could be a cause, and the checks are pretty easy. for failing bushings, can also try cycling the suspension with the shock and spring out.