Stream Game and Status can be updated with the update channel endpoint: https://dev.twitch.tv/docs/v5/reference/channels/#update-channel
and the communities can be updated with the Set Channel Communities endpoint: https://dev.twitch.tv/docs/v5/reference/channels/#set-channel-communities
As this is all already possible within the API, it’s certainly possible for someone to make a bot to change these things with a chat command. I know of some channels that do this, although personally I feel it looks pretty unprofessional to have these sort of commands be done through chat (in particular a public chat channel), and just gets in the way of legitimate chat going on in the channel.