I really wish there were. It'd make things a lot easier for me! There aren't really existing unambiguous language icons, at least for the majority of languages

I really wish there were. It'd make things a lot easier for me! There aren't really existing unambiguous language icons, at least for the majority of languages, so it'd be less about making them a formal emoji and more about actually inventing + "legitimising" new icons so they can be broadly and uncontroversially used. I doubt that'd happen in practice - there just isn't a pressing need, and you'd need an enormous (and likely controversial) public education campaign to make them adoptable - but it would be a neat design problem. r/vexillogy would have a field day.