Again in essence, if the garden is their own, or one where they have shooting permission, and they abide by the licence terms, then there would be nothing wrong in doing it - providing the quarry is being shot for a valid reason contained within the terms.
The exception of course being rabbit, as most of England (with 2 or 3 exceptions) is classed as a rabbit clearance zone, and all land owners within that zone are legally obligated to keep rabbits on their land under control - full stop.
Hope this helps you some, Air Gunner?
Regards,
Grim.