The short answer is no.
Apple has restricted Microphone and Webcam access so that an end user must approve a programs access to them locally on the machine. They cannot be pre-configured. It's an Apple MDM security restriction, not a Jamf issue. Any other MDM platform will have the same issue as they all use Apples underlaying MDM framework. If a security feature only has the option of 'Deny' then you can't pre-configure it for 'Allow'.

Hi @snowfox , thanks for your help!

While we're unable to approve via MDM, is there a way to prevent those privacy prompts from showing up?

Thanks!

Again unfortunately the answer is no.
This is expected behavior for the operating system.
The only thing you can do is allow it to accessibility and enable standard users to approve screen capture.
It doesn't matter what program you use, Skype for Business, Teams, Microsoft Remote Desktop, Other, they will all show security prompts for accessing the webcam and mic and screen recording etc.
To my knowledge these cannot be suppressed and are 'by design' in macOS. It emulates now alot of the things that iOS does and Apple treats the desktop as a 'mobile device'.
Some of the security features (as above) are based around the users privacy and not the administrator.

This was really annoying to me until I realized the wisdom behind it. We’re always trying to make things easier for the end user, but as long as we aren’t having to fight the “no admin credentials” issue on screen recording, having the user Allow camera, microphone, and screen recording is best. They need to understand they are making that choice and big brother isn’t out to get them and take away their choices. It’s also a great opportunity to educate them on the use of these settings and what “allowing” things does in the Security and Privacy settings!