Question

Is there a way for an app to know, programmatically, if it can receive push notifications?

Answer 1

Initially you need to try to register for receiving push notifications.

[[UIApplication sharedApplication]registerForRemoteNotificationTypes:(UIRemoteNotificationTypeAlert)];

If there is possibility you will receive succes delegate method

- (void)application:(UIApplication *)app didRegisterForRemoteNotificationsWithDeviceToken:(NSData *)devTokenLocal 

And if there is no possibility you will receive failure delegate method. Note that you can analyze error message for more specific info

-(void)application:(UIApplication *)application didFailToRegisterForRemoteNotificationsWithError:(NSError *)error
{}