Following my question (to which I self-answered): Is possible to use Facebook's (Page) Graph API without having an role in that page?
I would now like to know if I can get an access token for an app (created in https://developers.facebook.com/apps/) instead of a page (of which I can get an access token in Graph Explorer), to query Facebook's graph API?
e.g. with my page's (which is not the page I'm querying the graph about) access token:
GET https://graph.facebook.com/24HourFitness/posts?access_token=(*)
(*) access token generated in Graph Explorer (page access tokens) for one of the pages I admin