Can a vertex of a curve be a child-of an other object?

What I want is a curve vertex to be a child of another object. So when I move the other object, the vertex moves with it, and thus the shape of the curve is changing.

I do not find a direct way to define this. Is there a workaround to achieve this?
Or can I achieve the effect through a Python script?
First problem is, in the tree view I cannot access the single vertices. I can only access the whole curve.

Thank you for your help!

MANY THANKS! The “Hook” is exactly what I was looking/hoping for. Will save me a tremendous amount of work…

Ctrl-H, Hook to new object works for curve points. Inserts Empty at that point, which could be animated.
Ops, too late…