Yes, you can, but it will be hard to find a doctor, or more likely, a hospital that will "allow" it. Hospitals are big corporations that make money and they make nearly 4 times more for a c-section than a vaginal delivery.
Someone is going to post about uterine rupture on here and after 12 years in a very busy OB unit, I've only encountered one and she was being induced with a very high amount of pitocin. So high in fact, the nurse taking care of her refused to increase the dose and the doctor had to come over and do it. She ended up with a 3 cm tear on her uterine incision and she and the baby went home 3 days after the c-section. Uterine rupture is very rare, even after 2 previous c-sections. The documented cases where it has occured have involved the use of cytotec or a "Rambo-pit" usage of pitocin.