We sure can do it technologically and i imagine you want something like project Haven.
But considering the usecase of streaming for teaching, like other comment mentioned there are other ways to do it and if there are more requests for this, we would be happy to add
I believe the intention is to have the window on the screen then you use screen sharing to share it. So if you're using zoom or obs or another tool, then you can record it while streaming it
But considering the usecase of streaming for teaching, like other comment mentioned there are other ways to do it and if there are more requests for this, we would be happy to add