During Bill Gates reddit AMA, he was proposing the idea, even concluding that it would be a necessity to have travel go back to normal. That we have microchips embeded, that store our "public information", such as viral infection and vaccination status.
I say that it quotations, because i do not believe it is the governments place nor right, to make public, crucial medical data about individuals. In a perfect system, without breaches of security, sure, but that is not the real world.