Can I animate the vertices on bezier curve or will the curve need a rig?

I want to animate a hair being plucked from a surface. I made the hair by giving it a bevel and a taper so that now it has geometry I can see.
My question is can I animate the hair by just animating the bezier vertices or do I need to make a bones rig for it?

You can use shape keys with the control points, and animate those.