Antonyms for "had a hand in" can be "kept a distance," "had no involvement," "observed from afar," "remained uninvolved," or "didn't participate." These antonyms suggest no connection or involvement in a situation or event. While "had a hand in" implies that someone played a role or took action in something, the antonyms suggest the opposite. They indicate a lack of influence or contribution, which can be intentional or unintentional. Using these antonyms can help emphasize the absence of involvement, distancing oneself from any potential negative consequences. Overall, using antonyms can add depth and nuance to one's writing or speech by conveying different degrees of involvement in a situation.