Yep... I've got photo's I took from the jumpseat of an A300 (Garuda indonesia) - where the captain is reading a newspaper on short finals and the first officer was looking out the right hand window at some fishermen hauling a net in with curious anticipation of what they might pull up...
I've also seen, in person, a friend who knows more about automation of modern airliners than I, do a completely wheels stop automated landing in a 767 simulator after a little FMC programming. I believe he may have captured the ILS for approach though, not sure...
That was from engaging autopilot pretty much immediately after the "after takeoff checks" were complete (aircraft still climbing out) - and the entire flight was then flown by AP through all waypoints set for the route to destination...
SO, unless I am just missing something, which I admit I may be due to lack of real familiarity with the modern FMC's on airliners... but doubt it... I have seen it done...