It is totally possible. I know a great many women who have had successful VBACs (Vaginal Birth After Csec). I am from Canada, where the malpractice rate is not nearly as high, and people have VBACs all the time. I had a Csec with my son, and my OBGYN said I should have absolutely no problem with my next birth having a VBAC.
The first thing you need to do is find a doctor who supports your decision to try a VBAC. This may be difficult, because many doctors are afraid of malpractice. Still, remember you are the consumer and you can interview as many doctors as you need to until you find what you want.
Another option you might research is midwives. Depending on the state you are in, midwives can do many different types of birth - home, birth center, hospital. Most midwives will support you in your decision to have a VBAC and help you do that.
In any case, I would definitely hire a doula. Doulas are birth assistants that attend your birth as your support. They are trained to assist you throughout the birth process. They can be there to advocate for your wishes when you are 'busy' birthing.
Good luck in your search. You can do it!