Parent/Constrain curve controls

Is it possible to parent/constrain the curve nodes to an outside element, say a peg?

I’m trying to create a curve rig for a worm so ideally I’d like to have the controls points stay in place independent of the chain they belong to.

As an experiment I put two curve deforms where the base is in the middle of the worm so I can move the ends which sorta works. I’m still left with the puzzle of having the curve as a whole when I move the center. And because I have two curve deforms I have two curve bases that I have to move instead of one which would be better. If I could constrain one curve base to the other then I could just animate the one.

I come from a 3d background so I may be erroneously trying to translate 3d techniques to Harmony.