A judge can ask a person just about anything he chooses to. The 5th Amendment would not apply. Whether that would be done or not, i can't say, but the judge can and often will ask clarifying questions in traffic as well as criminal trials.
Maybe someday ... or, maybe, it's perfectly acceptable and lawful.Apparently, the Commission of Judicial Performance won't do anything about it so my guess is that an appeal beyond the Appellate Division will be required...or a public outcry.

