Yes, I added the Physics Constraint component. In its details it asks for the names of two other components. I gave it the mesh I am manipulating, and the Empty Root. Then it allowed me to choose with axis (loc and rot) to constrain. (Limited, Free, or Locked). Once set up that way, it worked along its local axis without me needing to change anything additionally, I can just rotate it in the scene and the constraints rotate with it.
This works for me since I am manipulating the location of my mesh, as opposed to an actual actor. So I’m not sure if this would work with Actors on their own, but for my purposes It worked great.