Projects/tasks/time billed + existing invoices?

Projects/tasks/time billed + existing invoices?

Is it possible to link time logged on a project to an existing invoice?

Example:  I negotiate work with a new client, send the invoice, and receive payment.  I then create a Project to track my time.  This is billable time, but it has already been billed on a per-project price instead of hourly.  How do I add that to the existing invoice?