Sub-task Auto Update

At the sub-task level, is there a way to set a sub-task to either provide a notification and/or update a task/project level status flag when the sub task goes into a past due status? We currently have the premium plan and would like to know if this capability exists and if so, how to configure it. Currently we change the status flag at the project level and task level to ‘behind schedule’ manually when a sub-task is past due but would like to see if this can be performed automatically without having to rely on team to constantly monitor and manually update.