No they didn't, the song was written and produced by their writer/producer Teddy Park. I'm sorry to burst your bubble but that's simply a Jennie bias-inspired myth because she cried while singing it during a concert. The next day, during her Live Countdown for her solo project she clarified the inaccuracies that fans started posting online (that she cried because she wrote it). Don't believe everything you read, watch the Live Countdown. She never said that she wrote it, with or without Jisoo. She simply said that it makes her think of the other members, that's why she cried.