Well - he is always behind the camera, and does, in my experience 'click his own shutter'... but as a purely academic point... it seems to me that a monkey can 'click a shutter'.
But isn't making a photograph just 'editing' anyway? Isn't one choosing one's subject matter from an infinite catalogue of subjects? And then the framing of the camera, the choice of film? in a way - the process of photography isn't ENTIRELY different from choosing a stock image from a massive catalogue.