can have we somehow had access to listbox as a parameter in the “Edit Parameter Interface” (like as the one in “Data Tree\ Object Appearance”) with the ability of dynamically filling it with custom items and defining callback commands for list selection changes.
is it hidden somewhere or there is no listbox?

I'm going to conclude that whenever there is no reply for this type of YES or NO questions, answer is always NO.

So, … another RFE.