@Scott S 

You may have read some of the Cisco Docs already but I would assume that you can considering that it might require some scripting and supported OS according the Cisco Official Docs.

https://community.cisco.com/t5/software-defined-access-sd/how-to-backup-automation-data-of-dna-center/m-p/4453533

Cisco DNA Center Administrator Guide, Release 2.1.2 - Chapter: Backup and Restore

https://www.cisco.com/c/en/us/td/docs/cloud-systems-management/network-automation-and-management/dna-center/2-1-2/admin_guide/b_cisco_dna_center_admin_guide_2_1_2/b_cisco_dna_center_admin_guide_2_1_1_chapter_0110.html

Ps: never done it, but thought I would share some docs for reference.