php – Respond to original e-mail sender on forwarded e-mail with software

Is it technically possible to respond to the original sender of an e-mail on a forwarded E-Mail?

Example: Bob sends Mail “Due invoice” to Lisa. Lisa forward the mail to her task application (her id is connected to a new mail address where the original mail was forwarded to). Once she completes the task and pays the invoice the system answers bob that Lisa has done the task over application name XY. Sender of the mail would be her email address of the task manager.

Working Steps

  1. sends email “due invoice” to
  2. forward that mail to and creates a task
  3. Lisa pays the invoice and set task status done
  4. respond to that the requested action have been done

Is point 4 possible to automate?