Separate the Start Date of Late Charge calculation

Is it possible to separate the Start Date of Late Charge calculation of Over Due Invoices and Late Payments?. Please see below scenario.

Grace Period Days : 3
Asses Late Charge Once : No
Late Charge Calculation Method : Over Due Invoices and Late Payments
Charge Start Date : September 1, 2021

1. Run the Create Late Charges Batch as DRAFT
2. All over due invoices and late payment covered in the charge start date was reflected. However, business requirement is that we want to separate the start date coverage to be calculated based on below dates 

       Over Due invoice = September 1, 2021
       Late Payments = August 1, 2025

The current method of creating a single late charge invoice for all transactions is problematic and results in customer disputes. We need to find a way to implement the system to calculate and generate late charges based on these distinct start dates.