Great question. Absolutely there is and in fact most contracts require this.

I'll assume this is not a contract for construction.

Almost every payment clause has a paragraph or subdivision that mentions "other supporting documentation required..." to make payment. So take a look at what payment clause you have in your contract (look for FAR 52.232-XX clauses or DFARS 252.232-XXXX clauses, or FAR 52.216-7 Allowable Costs and Payment if cost reimbursement or Time-Material CLINs). Additionally look for FAR 52.232-25 Prompt Payment in your contract, it should be there unless your contract is a commercial contract (format). FAR 52.232-25(a)(3)(x) "any other information or documentation required by the contract (e.g., evidence of shipment)." If your contract is silent on this, then it may require a modification to include it. Talk with your contracting officer, I'm quite sure they will work with you on this.