We already are familiar with how to create a bill from a purchase order, but is there a way to link a PO to an existing bill which has already been paid?

One of our team paid the invoice before we marked the PO as received; as a result, we are generating a second bill for the same item. Obviously we can remove the duplicate, but we would like to be able to link the PO to the bill for reporting continuity.

Is this possible to do the other way round? I can't find any articles on this.