Is there any way (programmatically) to filter Entry Pages report w.r.t a specific Social Media (Referrer)? Like if I want to fetch list of all the entry pages which were referred by Facebook or other Social Media.
It depends on what you mean with “with Social Media Filter”. If you want to view all reports, but filtered by people that e.g. came from Facebook, you can use segments (these can also be created and accessed via the API)