Is it possible to set interactive field "name" by script?

Hi, I have a field on all pages called "notes" when the page is duplicated the field renames to "notes 1" etc. Is it possible to have that field renamed through a script that would pull from a paragraph style on the page. For instance, 1 has "Widget" with title paragraph style applied. 2 has "Blue Widget" with title paragraph style applied. The field would rename to notes-widget or notes-blue-widgets or notes-white-widgets etc. Any insight would be appreciated, even if its only to tell me its not possible. Thanks!