If you have strict privacy settings, it's even more likely that others can't see who's on your private story. The privacy settings are there to safeguard your privacy. So, whether it's on a platform like Snapchat or Instagram, those outside your chosen group for the private story have no way of knowing who else is in that group.
No. Strict privacy settings are put in place precisely to prevent unauthorized access to information about your private story. The people you've chosen to share your private story with are the only ones who can view it, and the privacy settings ensure that no one else can peek at who else is on the list. This gives you more control over your privacy and who can access information related to your private sharing.