Yes, you can send a notification to the supervisor of the labor when any work order is created and labor gets assigned to the task or work order. To achieve this, you need to create a communication template and role with a labor-people-supervisor relationship. To trigger this communication on specific conditions, like whenever labor is assigned to a work order and the status is changed to APPR or INPRG, you can write an attribute script to check both conditions.
You can follow below given link.
https://moremaximo.com/discussion/communication-template-actions-and-escalations