Kinda. Several things I do know.
Really good shooters usually have really good eyesight. So yess, its' more than likely he could see a crow at that distance
As was pointed out, with Parsons, anything was possible.
There's difference between a lucky shot and a good shot. Ask a top notch shooter what his best shot was and he's likely to look at you stupidly - his are all good, working shots that get the job done expertly every time. Ask Joe Blow and he'll go on about a once in a lifetime Hail-Mary affair that he thinks was his best and everyone else knows was his luckiest. Big difference. But to the point, just yanking a cold gun out of the case and whacking a crow-sized target at most of a mile is luck. If the story has any basis, it was a lucky shot, but believable garnish to a career such as Parsons'.
As to Keith, he spent a lifetime taking a lot of stupid shots, wounding and crippling a lot of game along the way.
