Over here moose hunting is quite popular; to keep their moose hunting license every hunter needs to pass a test (every year, IIRC) that involves hitting a moving target.

Most hunters pass this test without much difficulty. Of course, on the range the distance is known (100m, IIRC), and the target moves at a constant and known speed, so one knows how much lead is needed. Still, AFAIU in the wild the results are decent.