When I was a child, yes and
terribly so. I remember turning a many poor doc and dentist offices OUT as a kid. They would literally have to hold me down kicking and screaming at the top of my lungs I would be so terrified of being stuck with a needle.

Whew, I showed out so damn bad...my poor parents...
Oddly enough, that fear just went away in my early teens -- I would cringe a bit, but I wouldn't freak out. And it doesn't bother me at all now.