No, a joint will usually become irrevocable upon the first spouse’s death or incapacity, meaning neither spouse can make changes after that point.
While courts can sometimes reform a will, this remedy is rare and requires a compelling reason. If a will is ambiguous or invalid, it may be contested or clarified by the court, but these actions do not constitute changing the will.
That said, in modern times, joint wills have become largely defunct due to their inflexibility.