They'll induce u if ur at high risk due to ur fall. For example bleeding, baby isn't moving that much, etc. yesterday was my due date, I'm at 3cm and Wednesday that just passed I got my membranes swept. I have bad contractions but nothing to whr i have to go in. I'm scheduled to b induced on the 27th if he doesn't come b4... I don't wanna b induced, and believe me like u I'm so ready to have him..!!
I know that they wont induce you unless something medically is wrong or your like a week over your due date. But it is worth the try because it does seem like you may becoming a risk of falling. I would just tell them that you fell and you want checked and was to check on your baby.