Yes, Airbyte has the capability to set up alerts based on certain thresholds. For instance, there are discussions about setting up alerts when certain cron jobs have not run within a specified window or when a sync operation exceeds a certain duration. In one of the [Github issues](
https://github.com/airbytehq/airbyte/issues/33317), there's a discussion about setting up alerts for when either of the connection support state cron and the definitions updater cron have not run inside a window. The alert system is set up in such a way that it can notify if these crons are not running, but not if they run with errors. In another [Github discussion](
https://github.com/airbytehq/airbyte/discussions/34240), a feature request was made to have the option to define a duration threshold for syncs. The user wanted to receive a warning if a sync operation that is expected to take 20 minutes is running for 2 hours. However, please note that the implementation of these alerts might depend on the specific requirements and the configuration of your Airbyte instance.