Yes, Dronelink automatically generates logs in DJI's proprietary flight log format. You can access these flight logs by connecting your mobile device to a computer and exploring the files in the Dronelink application folder:
iOS
Android
Android > data > com.dronelink.dronelink > files > DJI > com.dronelink.dronelink > FlightRecord
You can also configure Dronelink to automatically send these flight logs to a third-party logging service (learn more).