I don't know if this is true but I will believe in it anyway. No way you could have made this Robert Bork guy out of nowhere.
Discussion
Haha I learnt about him from listening to wise elders.
In 1987, conservative judge Robert Bork endured such virulent criticism … that to this day, a nominee sidelined by activists is said to have been "borked."
—Claire Suddath
But yeah, that's just my best effort explanation for the etymology... I'm not 100% confident in it...