Stranger things HAVE happened, about 20 years ago while serving my time as a new hire 727 S/O while we were cruising in level flight out of the corner of my eye I spotted the EGT on the APU control panel start to rise, sure enough it was starting by itself !
I relayed the information to an incredulous Captain who confirmed it was running then shut it down (with the regular on / off switch)
I was there and saw it happen.
You never know
