Yes, in principle that would be possible to do with a script. However, such a script is not simple to develop for someone without experience in this field.
Also, there are other options for tagging the pages, such as using annotations (commenting tools).
And if the pages are not hand-written it might even be possible to apply OCR (text recognition) to them and do the entire process automatically, without having to tag each page (range) manually.
Also, unfortunately, these pages would not benefit from OCR scanning. Manually tagging them is not a problem, in fact, setting bookmarks is quite easy. I wonder though, between bookmarks and other options like annotations, which are the easiest to access and manipulate programatically? And can they be used to sort the pages?
Well, scripting in Acrobat has its own set of limitations and "tricks" that you need to know in order to do it correctly. For example, many methods can only be used from certain contexes, so some code that works when you run it in the console will not work when attached to a form field button, at least not until you create a script file that enables it to run, etc.
I would go with annotations. They're as easy to create and maintain manually (via the Comments List) and for a script they're easier to work with because their page property is directly accessible, which is not the case with bookmarks.
Thank you for the direction. I would probably only use the console. I will begin experimenting with annotations. I've obviously got a lot of reading and experimenting to do.