18 i think
See Link Below'Child Refusing To Visit Other Parent?'
Generally, not until the child is 18.
see link
13
A child can make that decision at the age of 18.
see link
see related link
14 years of age
When they are 16, that is also when they can move out if they have a good place to stay.
15 is the real age to make legal decisions. Not all, just most.
It may vary by state. But until age 18 or a court-ordered emancipation, it is not a matter of choice.
18. Until that age if the parent has court-ordered visitation it has to be followed. If there is a valid reason (and it must be a very valid reason) the child does not want to visit with the other parent, you need to petition the court to modify the visitation order.