In many platforms with private story features, you can indeed take yourself out. Let's say on a popular social media platform. You first navigate to the section where the private story is displayed. There might be a three - dot menu or some sort of icon associated with the story. Click on it, and you should see an option to leave or remove yourself from the private story. This is designed to give users control over their participation in such private sharing scenarios.
Well, it depends on the specific application or platform. In most cases, if it's a proper social media or sharing platform that has a private story function, there should be a way to do it. Maybe you need to look for a menu or an action button that is specifically for managing your participation in the private story. It could be under your profile settings related to that particular story feature.