I was born by C-section and Ds was born vaginally.
That said, my mother's experience had a huge impact on how I birthed. I was her first baby, she labored for 12 hours and then was forced to have a c-section. It was a hugely traumatic experience for her (she's a Christian Scientist).
And to be honest, I think it was traumatic for me, too. During my pregnancy I was extremely worried about being separated from my baby after birth. I mean, obsessed with this possibility. Almost every day I would bring it up with DH, and tell him that if I couldn't be with the baby right after birth he HAD to be there, talking to and holding the babe. It would make me cry every time I discussed it with him, but I couldn't let it go.
Towards the end of my pg, I mentioned this intense fear to my mom. She got real quiet, then told me that after I was born (at 5am) my dad went home. She was under general anesthesia and was knocked out until about noon. She didn't actually see me until 6pm that night.
So I was alone in the nursery for 12 hours after being born.
And let me tell you, I did everything in my power to make sure that my son's birth was perfect, peaceful and safe and that we would not be separated at all afterwards. I am so, so happy that things turned out well and I gave my son that. So yeah, I do think that the way you were born can impact how you give birth, though maybe not the way that was meant in the OP....