No, they cannot! The key here is the age of majority (adulthood) in their area. If they are an adult, the parents are no longer responsible, but until then, they are required to stay where their parents say.
Age 18 see link below
When they are 18yo.
When they are 18.
Age 18see links
In West Virginia, a child can decide which parent they want to live with when they are 18.
When they are 18.
When they are 18.
When they are 18.
Depends on where you live but generally you have to be 18 to decide.
16
see links below
As long as you are a minor you can not decide legally where to live.