I had this as my twins were emergency section. I was induced at 38+4 weeks (Tuesday) due to polyhydramnios that came on very suddenly at 36 weeks, 1 episode of reduced movement and one where he stopped moving completely for several hours, went from measuring on the 90th at 32 weeks to being on the 50th at 36 weeks and the cord function was dropping.
My cervix was no where near ready. Long, firm, completely closed and very posterior. I had already been contracting for weeks (well months on and off, i have irritable uterus and they kept thinking I was in prem labour as my 'BH' were showing up strong enough to be contractions on the monitors) but it was not getting me anywhere. Catheter was in 12 hours and that got me to 1cm. Still very firm and posterior, could not be stretched at all. I was contracting every 3 mins until they finally had space for me on the labour ward on Thursday lunch time. Took 3 attempts to break my waters because my cervix was so far back and only 1cm. An hour later they put the drip on as my contractions started tailing off. She checked me after several hours of back to back contractions registering thru the roof and I was 2cm. After a while I asked for pain relief so she checked me but I was fully dilated already. After 4.5 hours of pushing, back to back contractions and pushing 4-5 times with each one and them refusing to get the Dr like I asked because they said I was pushing amazingly .... he was born via epistomy and forceps after they finally got the Dr as when he checked baby was back to back and head at a funny angle so was impossible for him to come down. With every push his head was driving into my pelvic bone not downwards. Had he been in a better position I would have had a much easier vbac. He was born on the Friday.
So if they managed to get me going when I was not even close to being ready to go into labour, you have a great chance.