There is nothing they can do about it but there is also nothing you can do to make them help you if you get in a jam. It always works better if you do things by agreement in case everything doesn't work out as planned.
legally I dont think so but before you do you might want to make shure you have a sustaining job and you can care for yourself like rent-wise and food-wise laundry,clothes, and other things
I moved out when I was 17 with permission, so you should have a problem just don't forget them they have to cope with a change to a and they be there for you when you will need they hope this helps and sets you at ease