Yes, this is possible. After you touch down at Jammu Airport, you can hire a rental cab to Katra. It would take approximately 2 hours to reach Katra. Book the Helicopter from Katra to Sanchichat (the total flight time is approx. 8 to 10 mins). After 3 hours of journey to Mata Vaishno Devi shrine, you return back to Katra and get laid back in your hotel room. Thereafter, quickly transfer to railway station to resume your journey to your home destination.