Yes, you can stop the dunning process for a customer who is unable to make the payment and does not want any further retries to collect the payment for an invoice. This can be done in two ways:


a) Via the API


You can do this using the Stop Dunning for an Invoice API, or 


b) Via the Web interface


Under Chargebee account, you can find the option Stop Dunning, on specific invoices which are in Payment Due status.

Refer here to know more about this.