Is It Possible To Get Bulging Disc During Childbirth?

I was in a car accident in October 2010, I was diagnosed with bulging disk and have had 2 sets of epidural injections. The insurance company is now claiming that my back problems were caused from me having 3 children. I have a 6,4, and 2 year old- I have never had problems before the car accident. My question is, Is it possible to obtain bulging disk during childbirth??