To answer your question directly, no it won't. The user must click a link on a page with Analytics tracking to your site in order to count it. Since Facebook or other social media sites are clicking links that go to the file and do not have Analytics implemented, they are not tracked.
If you really wanted this information, you could use server-side logic to send data to Adobe Analytics whenever someone requested to download or read the file.
Thank you for your reply. However, the information I want is not available on that page. It does not state wether the analysis tool also fetch direct traffic downloads (as in my example in the first post). I understand that it will collect data if I click a link on my site, but that was not the question.