It is possible to manage this via a configuration profile. I would recommend checking out Jamf's Github for their PPPC Utility: https://github.com/jamf/PPPC-Utility.
This is what it would look like if you are using the PPPC Utility. Note: in the right column is where I gave it "Allow" permission on "System Events". In the left column, if you are running macOS Catalina, you will need to give it "Allow" permissions to the Desktop, Documents, and Downloads folder.

Once you have it configured how you need it, you can just hit the "Upload" button in the lower right-hand corner, enter your Jamf Pro credentials and then you will be able to upload it directly to your Jamf Pro server.
@moojomoore I've created the profile using a 10.14 client. When installed to a 10.15 machine and Backup and Sync launched I was still prompted to allow access to the Desktop, Documents, and Downloads folder.
Is it possible to reset these to default to test the profile again? I'll test it on another Catalina machine soon.
I'm on 10.12
Perhaps that's why I'm seeing what I'm seeing.