Well veophobia is simply fear of driving an automobile. It is "normally" brought on by having come through a traumatic accident in an automobile.
I can think of only think the following incident, such as may have brought it on.
My mom was driving a Mercury Cougar once and held it in full skid, brought it out twice, went with it the third time to avoid the electric pole. She had ran across a patch of what is now called "black ice". The state trooper who coincidentally was checking road conditions, and following her said he knew she was not drinking, he commended her for holding it as she did. He too skidded in coming up behind her.
Not sure if that had an effect on me. If so it's odd it did not effect my two younger brothers the same. I lock up behind the steering wheel of a car, pickup truck. Everything "comes in" and I get terrified of either hurting myself or others, then get paralyzed and unable to function beyond white knuckling the steering wheel.
This is exactly why I do make an effort toward using forklifts, bulldozers and such. This helps me to gain confidence and maybe I can eventually "get there" to drive an automobile.Yes, I know that seems counter intuitive, perhaps even riskier, I always go backwards ... learn the hard way. No joking, it kind of took me a few days to figure out using a fence post digger, a manual one not a motored one. That's just me though, I learn like that, hard first.