The word order is ok, but whether the entire sentence is depends on the German original.

I would say,"Hasn't a new school been opened?" aber wenn ich keine Kontraktion benuzen wollte, würde ich die Wortreihenfolge ändern: "Has a new school not been opened?"

Umso dringender brauchen wir jetzt den deutschen Ausgangstext.

'A new school has been opened today.'

into a negated question (grammar).

It's only the question of transforming the sentence grammatically into the passive (preent perfect passive, negated, questioned)

I would still change the word order when not using the contraction.

Hasn't a new school been opened?

Has a new school not been opened?

Has not a new school been opened? klingt in meinen Ohren sehr veraltet.