I did a little research and I'm guessing this is for some kind of variable optical filter, or perhaps as a method to modulate an optical signal?
This is really a very complex and highly detailed concept to begin with which requires quiet a bit of understanding of the theory and way more math than I care to get into =)
I think piezo's could in theory work, but you have to work all the math out for the required displacement, and then you have to figure out how to mechanically construct it. The piezos you linked are common speaker type displacement is going to be incredibly small, they rely on resonance of their physical structure for efficiency, you got quiet a bit of math and some empiracle measurement to do.
This is on the mid to high end of college level graduate projects in optical engineering, way over my head!
Outside of piezo's what's wrong with a mechanical adjustment like a simple spring and adjustment screw? That could be automated with an encoder on a gear motor shaft.
I kind of get the rough idea what you're trying to do which is either modulate an optical signal, or create an adjustable spectral filter, but like I said, you're short on details and long on complex and involved ideas.