Kind of. There is one punctuation tell that you can typically use to tell if someone is older, and thats if they use ellipsis to separate thoughts rather than line breaks in informal settings.

Back in the day when you were writing on paper, space was a limited resource, so people that are more used to that will separate ideas with a ‘…’ rather than starting a new paragraph because you can fit more text into a smaller footprint.

Come the turn of the millennium, digital writing became the norm and people that grew up surrounded by computers tend to use line breaks instead because space is not limited in the same way anymore.