@Nhokas 

Yes, this is possible. First, make sure you have configured the detection and recording settings for the doorbell.

If your doorbell is run by battery, set the wake-up type to 'Event Detected' (Doorbell Device Settings > Detection > Wake-up Settings), this will allow the doorbell to wake up and start recording when both detection and doorbell-press events occur. 

In the device notification settings, you can select the type of activity you want to receive notifications for. 

1. Enable the Activity Notification (Device Settings > Notifications).

2. Click 'Activity Type', uncheck ALL the listed detection types. *Doorbell-press is not a selectable option here, but it is enabled when you enable the activity notification feature. When all detection types are unchecked, the only notification type remaining is the doorbell-press event.