Получилось вот так
add_filter( 'woocommerce_get_order_item_totals', 'reordering_order_item_totals', 10, 3 );
function reordering_order_item_totals( $total_rows, $order, $tax_display ){
$payment_method= $total_rows ['payment_method'];
$shipping = $total_rows['shipping'];
$order_total = $total_rows['order_total'];
unset($total_rows['payment_method']);
unset($total_rows['shipping']);
unset($total_rows['order_total']);
$total_rows['payment_method'] = $payment_method;
$total_rows['shipping'] = $shipping;
$total_rows['order_total'] = $order_total;
return $total_rows;
}