Yes! When you log into your Job Seeker portal, click on the Job Alert tab from the drop-down menu. You will notice the name of your Job Alert will be listed and towards the right three links: Update, Stop, Delete.
Updating the Job Alert will allow you to update the criteria you previously selected without having to re-create the alert from scratch.
Stopping the Job Alert will put it on hold so that you do not receive any more Job Alert emails. You might also think of this as pausing the alert. It can be re-started at any time.
Deleting the Job Alert will delete the job alert completely from your account. Once this is done, you would have to re-create any future alerts from scratch.