No, there is not. Invoice status is related to customers and suppliers, not line items on the invoices. (You did not mention whether you were speaking of sales or purchase invoices.) The quantities in various columns of the Inventory Items tab listing are related only to movement of items.
For example, once an item has been recorded as being purchased (and received if you are using goods receipts), it is available for sale, regardless of whether the purchase invoice has been paid. Your obligations to suppliers are reviewed by drilling down on the Accounts payable account and, from an accounting perspective, have nothing to do with individual inventory items.
Similar reasoning applies to sales invoices, customers, and Accounts receivable.