A parent cannot deny visitation/parenting time to the other parent based on the other parent's lack of child support. Visitation/parenting time and child support are two separate issues. The non-custodial parent's visitation rights are not based on their payment of child support. The idea is that it is in the best interest of the child to have a relationship with both parents. Denying parenting time to a non-paying parent would deprive the child.
Similarly, a non-custodial parent cannot stop paying child support because they are not receiving their parenting time with the child. The support is for the child, not the other parent. It would harm the child if such support is withdrawn.
In either case, the parties must go to court to settle such issues.