Yes, there is a tale about Lord Ganesha regarding Rakhi. This is how the story goes:The Hindu god, Lord Ganesha, was a dad to 2 boys named Shubh and Labh. On the day of Rakhi, these 2 small boys were incredibly frustrated and bitter about how they did not have a sister who could connect rakhis to their hands. So, they requested their father for a sister but he did not concede to their desires. Nevertheless, when the martyr Narada emerged, he persuaded Lord Ganesha that holding a daughter would solely improve his life as well as the energies of his sons. So, Lord Ganesha eventually compromises and formed his daughter by divine flames that appeared from Lord Ganesha's wives Riddhi and Siddhi. The daughter was then called Santoshi Maa.