Is there a program, or way to extract pages and name the resulting PDFs based on a list?

Yes, that is likely possible, either based on an external file that contains the data, or even by extracting the data from the page itself (if it's readable and consistent). Either way, it will require the development of a custom-made tool.

If you're interested in hiring someone to create it for you feel free to contact me privately via [try6767 at gmail.com] to discuss it further.

Hey!

Thanks for reaching out to Acrobat Community. If I understand correctly, you are willing to get the automated file name added to extracted file, rather than naming them manually. Is that the case?

What type of name list you are referring above? I wonder there would be any option for doing so. Whenever a file is extracted, you have to select the location to save it. As well as give the appropriate name. (as per your choice)

With the latest Aug release, now a new document preference is added to let you use the filename as the document title. See if this change helps you a bit: https://helpx.adobe.com/acrobat/using/whats-new.html#Optiontousefilenameasdocumenttitle

Thanks,

Akanchha