Only allowing admin members of a facebook page to log into an app

Question

Hey guys, i'm working on a mobile app which will have profiles driven by facebooks login system.

Basically the rough idea is

FB Page is "tagged" by app user > app posts on facebook page that page has been "tagged" > admin member(s) of tagged facebook page follows unique link into desktop app > app creates a new profile from facebook page.

I can't give very much away, its a top secret project, but basically the app will need to validate that the admin is infact an admin of the page they followed a unique link from ... i want to know if this is possible.

Thanks very much.