Is it possible for a user to add emails to the Talend Administration Center (TAC) notification page?
No, a user cannot add free/custom email IDs to the TAC > Notification page. Only TAC users are authorized to receive notifications from the available events of TAC.
For more information, see the Managing Notifications section of the Talend Administration Center User Guide for your platform.
You can configure the tSendEmail component with custom/free email IDs to receive notifications with respect to the Job. However, the tSendEmail component cannot send the notifications for all the events available in the TAC.