No. A parent may not refuse to allow or cut back the other parent’s visitation with the children simply because the other parent has not paid his/her child support. Payment of child support and visitation are legally independent matters. Both parents have the right to have a meaningful relationship with their children.
It should also be pointed out that if one parent refuses to allow the other parent visitation, that parent may not use that as a reason to withhold or stop paying child support. Both of these actions are subject to contempt charges separately.