Is it possible to access a Facebook user's photo-gallery in Facebook Connect?

If the user "Connects" to your websit开发者_开发技巧e.

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yes, for example, in PHP you would do:

try {
    $facebook_albums = $facebook->api_client->photos_getAlbums($facebook_user_id, null);
}catch (Exception $e) {

}

where $facebook_user_id is the user's facebook_uid (user id)

read more at http://wiki.developers.facebook.com/index.php/Photos.getAlbums