And by object’s geometry I mean Brushes or even Meshes, in UDK you could just copy their geometry to clipboard and then click “Add” and what it did, it inserted the brush with same exact geometry I just copied from mesh or another brush 
Can’t remember how exactly function was called now, but I think it was called “Copy polygons to brush”
If you’re asking about the Intersect/Deintersect functionality for capturing brush geometry (from UDK but dating back to code I wrote in UE1!) that’s not exposed in UE4 right now. It broke when we moved to the new drag-and-drop approach to creating geometry.
We have been discussing whether and how to re-expose that functionality, but don’t currently have a plan. So for now you’ll need to use additive/subtractive geometry. Keep in mind that if you create compound CSG geometry, you can select a bunch of brushes and Alt-Drag to duplicate them and move the copy elsewhere.
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Not sure I really meant Intersect/Deintersect (I didn’t ever use them actually :D) but hopefully feature I was trying to mean will be implemented
Thanks!