Sure it is possible, if you schedule a local notification it will fire even if you terminate the app.
UILocalNotification *_localNotification = [[UILocalNotification alloc] init];
_localNotification.fireDate = [NSDate dateWithTimeIntervalSinceNow:_value];
_localNotification.timeZone = [NSTimeZone defaultTimeZone];
_localNotification.alertBody = @"Beep... Beep... Beep...";
_localNotification.soundName = UILocalNotificationDefaultSoundName;
[[UIApplication sharedApplication]scheduleLocalNotification:_localNotification];
... works like a charm for me.
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