NO CHANCE..
Sorry for the big negative here, but you have little chance. One thing you are fogetting, is that this will be an international to domestic flight, you will be in immigration a fair while. Those arriving for the first time are subject to eye scans and finger prints - all 10! One person can be at the counter for minimum 5 minutes. Even if you are first off the flight, there is a flight in from karachi 15 minutes before - nightmare! You also land within the same 20 minute windoiw as a khatoum, a frankfurt, amman and a cairo. I think it safe to say you will be waiting a while to clear immigration........