Can we import payment information into Invoices?

I see where you can import complete "invoices" in the Invoice pgm. We are automating Credit Card processing and the only step it appears we can't automate is the application of the CC payment information on the actual invoice to show a payment being made and applied to the invoice.

We email over 99% of our invoices and recurring invoices generally have a Credit Card on file for payment. We want to send a "Paid" invoice to the customer.