I'm 14 and pregnant. Can my parents kick me out or try to take custody of my child. Can I move out on my own without there permission what are my chances of living a normal teenager mother life without the unwanted interference of my adoptive aunt and uncle.

A lot of that is maybe and depends. First at 14 who ever got you pregnant is guilty of rape and can be arrested and put in jail. And really needs to be.

Your parents can not kick you out, ( but can turn you over to child and family services if they can show cause) Most likely they can not take custody of your child unless they show you are a unfit mother.

And there is no such thing as a normal teen life, we each have the life we have, with the parents ( and now that baby will have other grandparents)
You have the issue of the babies father who will have rights to visit, custody rights and obligation to pay child support.

If your parents will help and be there for you and help in raising this child while still raising you, it can work

But there is no normal life for a teen age mother

On the surface, the answer to all of your questions is no. But I'm confused as to the connection between your parents and your adoptive aunt and uncle. Are the "parents" you speak of at the start of your post really an "adoptive" aunt and uncle? If so, did they legally adopt you? Who are your legal custodians? They still have the responsibility to provide for you. You, in turn, along with your child's father, have the responsibility to provide for your child when born. How old is your child's father? A lot will hinge on his age.

When I became pregnant with twins at 15 I stayed at my own house until I was 16 and me, my, now, husband and the babies bought a own house with our own money. The house wasn't exactly fantastic but it got our lives started.
One things is to do your best to stay in school for as long as you can then go back to school as fast as you can. Don't let the father quit school either.