Im gunna say no. Mostly because until you are a 6 they dont consider you to be in full labor yet. You can go weeks being dilated even to a four and as long as you arnt having consistant contractions they wont worry. Plus now that you are 37 weeks they no longer stop the contractions they let you go into full labor and have the baby. So good luck. Hope all goes well for you. Oh and they wont induce unless you or the baby is in stress. So relax it will all be fine.