I couldn’t find if this exists in Rhino, but from searching the forums I can’t see this as a tool.
Basically, I believe it would be beneficial to have a tool where you can make an object a “cutting object” and no matter where you move it, it cuts through a non-cutting object. This would make it a lot easier to move cuts around. Maybe you can tie that “cutting object” to a specific surface so it doesn’t cut all the other object.
You could then put all your cutting objects on a layer and hide them and they still perform the Boolean Operation.
Now I couldn’t see if this exists but I am happy to be proved wrong if this is already a feature.