There’s no mod that does that, but it’s certainly a feature I’d request for Asobo to implement. It’d be the most convenient thing to do to complement the live weather system.
I wouldn’t say it’d be too hard to develop either, albeit I may be wrong. The simulator obviously has that data, so it’d need simply to convert it into METAR format and display it.
Edit: Since I was at it, I threw in a suggestion post that can be voted, feel free to give it an upvote if you wanna: Implement in-sim METAR according to Live Weather