I'm creating a view where I'd like to use the node ID of the current node seen on the page on the no results behavior. Is it possible?
If you have the PHP input format enabled you can use
arg(1) in the empty text for the view.
You can also create a content pane and send the argument to panels, and use %1 where you want to use the node title. Pretty much all my views are content panes now so I can use this and similar functionality.