edit2: I tested and you can accomplish that using Snap Align Object(s) to Component + the method I described originally.
edit: I just realized my idea wasn't exactly what you meant. You might want to take a look at the bonus tools anyway, i haven't used these in align menu but maybe they can help
There may be a more "proper" way to do it, but a hack is:
make a primitive shape (like a cube), snap the cube to your component (use V hotkey). Group the cube, center pivot on the group, delete the child object. Just make sure the pivot on the primitive is centered (will be by default), because when you center pivot on the group it will go to center on the children.
Center pivot is in modify menu. I use it so often I set to hotkey Alt+C. Also in the bonus tools is a number of pivot modifiers I use super often as well.
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