As Martin said, this is possible using the Graph API using FQL. I tried Martin's solution, but I needed to modify it a bit.
The definition filter_key = 'others' did not help. Instead, you can replace it with actor_id != YOUR_PAGE_ID , so at the end you can:
https://graph.facebook.com/fql?q=SELECT post_id, created_time , app_data, type, actor_id, target_id, message FROM stream WHERE source_id = YOUR_PAGE_ID AND actor_id != YOUR_PAGE_ID&access_token=YOUR_ACCESS_TOKEN
If you need more variables, you just need to put them after SELECT, and you can check them here: https://developers.facebook.com/docs/reference/fql/stream
On iOS, you do not need to put an access token in the request. To check how to do this with the latest iOS SDK, see my answer here: fooobar.com/questions/435725 / ...
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