Can you hide a toolbar but keep its hotkeys active?

I have a button on a toolbar that does some simple file naming, and that button is assigned to a hotkey, but I don't want that toolbar visible all the time. Is there a way to make that hotkey active even when the toolbar is hidden (without moving the button to another toolbar or turning the toolbar into a menu or anything like that)?

Yes, open Customize/Toolbars, select your toolbar and enable Always enable this toolbar's keys in Lister option (Dopus 12).