R12.2.5 - Can we reverse a paid invoice distributions and add distribution line with Project / Task

Hello Gurus,

We have an unique requirement as below:

Customers have a PO (without project / tasks) and a matched invoice which got paid. Till this point of time, customer was not aware of any project / task for this purchase. Later on within the open period, it realised there is a valid project / task.

Can the users go to the invoice, reverese the distribution lines voiding the payment and add new distributions with valid project and task details ? Will it have same effect from accounting perspective same as having the process with a Project PO ?

Would appreciate your prompt response.

Rgds,