XYplorer Beta Club

Is there a way to customize context menu?

Yes, I know, there is an option "Custom items in shell context menu", but it doesn't change context menu appearing when you click on empty space (i.e. somewhere between of below files).

Sure, write your own

; Tweak: 0=Edit menu, 1=Folder's shell menu, 2=Favorites, 3=reserved, 4=Tabs, 5=FavFiles, 6=Script
CEA_ListRightClickOnWhite=6
CEA_ListRightClickOnWhite_Script=<some script.xys to provide only what you need>