No, not from the Nuki App at the moment.
Your IFTTT-option could be:
https://ifttt.com/applets/NwYHrpWq-receive-a-notification-when-a-specific-person-unlocks-the-door
But keep in mind that IFTTT can have some noteable delay.
EDIT: I also spilt this into a separate topic, as it seems to have nothing to do with the door sensor in the bridge API.