It's possible, but only if the file is printed from a button that you add to it (or to the application). If the user used the built-in Print command of Acrobat (or Reader) they can specify any number of copies and you won't be able to keep track of it, as it's considered a single print command.
would you be able to help with something like this ?
Yes. Contact me at try6767 at gmail.com and we could discuss it further.
I made this for a client a few month ago.
(with in addition a barcode that works in Acrobat Reader)
You can contact me too.