I have had to twice call home for my wife to pick me up. Once was when I flatted in a downpour. I replaced the tube with my spare (on the rear of an IGH wheel - not the easiest job) pumped it up and discovered that I had broken off the valve stem. I couldn't bring myself to doing it again. Had it been a bright sunny day I would have. Second time is when my handlebar broke near the stem. I tried to ride one handed but as I was loaded down it was too dodgy.
On the other hand, when I broke a crank last year, I did make it home on the bike with some effort.