Not anymore, per the article - the change went into effect earlier this year.

There’s a confidential process available for those situations:

If you would like to request a confidential name change where you won’t have to publish notice of the proposed name change, you must prove to the court that publication of the name change could endanger you and that you’re not seeking a name change in order to avoid a debt or conceal a criminal record. (§ 786.37(4), Wis. Stats.)

I’d argue that trans people would qualify as being endangered under our current regime, but I wouldn’t bet the farm on most WI circuit court judges or the GOP-controlled legislature acknowledging it. The cruelty is the point.