I live in Arizona, is there no possibility of me requesting legal emancipation without parental consent?

Read more about Emancipation in the Laws section of this website.

Arizona law makes your parents responsible for your well-being until you turn 18 years old.

 The only exceptions to this are if you are legally married (if you are under 18, parents must approve of you being married) or join the military (parents must usually give their approval if you join the military before you are 18).

In cases where parents are not providing for your well-being (like cases of abuse or neglect), the state government can sever a parent's rights. This means that due to evidence of abuse or neglect of a child, the state declares that a parent is not fufilling their legal responsibility to provide for a child's well-being. In cases such as this, a parent's rights over a child may be severed.

This is not emancipation though, as the child is taken care of by the Arizona foster care system until they are 18.