QB Issue Resolution:

No.  Are you worried that it will?  Generally with QB you are free to screw up. QB doesn’t know or care that what you may be doing makes no sense.

Resolution for Issue 'when I input a vendor’s invoice number and the payment, will quick books stop me if I try to enter the same invoice number for payment the next month?' available: Yes (Solved).
Source: Intuit Community forum.

when I input a vendor’s invoice number and the payment, will quick books stop me if I try to enter the same invoice number for payment the next month?: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

Support for Invoice
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Error Recovery for Invoice [Canada]
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