I was about to say.....can a bowler can throw 9 gutter balls, then three strikes and call it a perfect game? Maybe that's not the best analogy.
You made a great single shot to the bottom of the cup... technically it wasn't a hole in one but I suppose you could call it an ace to save par? How about calling it a two-Mulligan in one. I've had a few very long single sinkers from the sand after two embedded in the bank. Those kind of shots are what keep me playing. They tell me I am not completely hopeless as a golfer.
You made a great hole in three...the title of this thread described it the best.