No. With an e is primarily BE.

AIUI the "normal" spelling in BE is "judgement", but in legal contexts the preferred spelling is "judgment".

So, in a legal context, for a specialist English readership, you should probably use the spelling "judgment" when referring to the final decision of a court (or a judicial opinion). However, you could criticize somebody's judgement if you were talking about their cognitive faculties.

Ein Solicitor erklärte mir neulich den Unterschied: Die Schreibweise mit "e" verwendet man nur, wenn es um eine "moralische" Beurteilung geht. Die Schreibweise ohne "e" verwendet man für Gerichtsurteile.