Hello,

 

         I don't think this is possible, you could however, attach a comment to a user by:

 

1. Go to ticket user is attached to, or find user in Setup -> Organizations -> Users

2. Click on their email address

3. Click add at top of the User Details page.

 

Let me know if this just doesn't work and we could put this as a feature request. 

Thanks

You could also try creating an event for Ticket Created. Set the customer's email address on the Conditions tab. For the Actions, choose Use Default Notification Profile for User. Then customize the email that gets sent to the agent that gets assigned the ticket.