Legal Question in Family Law in California

No, but the court may then not approve the judgment. The duty of support is owed the child, not the custodial parent. The court will independently watch out for the child's interests.

An agreement between the spouses not to seek child support is not enforceable by the court. You can not request support, but at some point, someone may move the court for a support order, such as the county, in the event the custodial parent receives public assistance, or minor's counsel when a custody dispute arises.