Not currently, but this feature is on our roadmap. In the meantime, there are third-party tools available:
- https://community.tablotv.com/t/tablo-ripper-automatically-download-new-recordings/2803
- https://community.tablotv.com/t/tablo-exporter-export-tablo-recordings/1609
While this feature is not in the official Tablo apps, it's available using third-party tools. To extract the shows to a computer, use one of the apps discussed in this community forum: https://community.tablotv.com/c/tablo-apps/third-party-apps-plex