No, it is not possible. The navigation pane display is not subject to vba manipulation and has no settings.
See my
Navigation Pane and Style Pane visibility Settings Control which sets it for default display (or not) and sets its width.
You may want to add feedback on your wishes.
Giving Feedback on Microsoft Word or other Microsoft Products
Note that this user-to-user support forum has no connection to Microsoft.
You may also find the following of interest:
Word Doesn't Know What a Page Is by Daiya Mitchell, MVP