It's possible and I hope they can figure out how to code it in, (also sorry if this offends Discord but) even Skype allowed iOS users to share their phone screen in a call, even a group call. This would also mean for mobile players that they can stream their gameplay to discord directly from their phones and tablets instead of having to mirror them to a computer and use the computer discord to screen share, and it doesn't even have to be for games either! “Since iOS 11, we had the ability to record and stream our screen to not just the photos app but also to streaming apps that support it as well, and all you needed to do was just enable it in the settings to show up in your control center, and I'm pretty sure it's easy to code in screenshare into Android apps as well, so if discord can enable the use of screen sharing for both iOS and Android, it would be really amazing!

I already commented on that post but I might as well repost it here since it also applies here: This is just like another feedback post I found way earlier on the Discord feedback pages known as “ Streaming on ios” and I agree on the idea, why can’t we just do it?

Streamlabs screen share