You can change your privacy settings in the Snapchat app to choose who can see the photos in your story.
Steps

Step 1. Open Snapchat
This is the icon that is represented by a white ghost in a yellow square.
If you haven't yet installed Snapchat and created an account, you can learn how to do so here

Step 2. Scroll down the screen
Snapchat will open directly on your camera screen, scroll down to go to the Snapchat homepage.

Step 3. Tap the gear icon
This button is in the upper right corner of the screen, clicking on it will bring you to the menu settings from your Snapchat app.

Step 4. Select View My Story
This option can be found under the tab That can… which you will find towards the middle of the menu settings.

Step 5. Choose the audience that is allowed to view the photos in your Snapchat story
You can choose between different options: everybody, my friends Where custom.
- Select everybody to make your story photos available to everyone. Anyone with a Snapchat account will have the ability to view your story even if you are not friends.
- Select my friends to limit access to photos in your story to your friends list. Strangers will not be able to see your photos. Anyone on your Friends list will be able to see your photos.
- Choose option custom if you want to prevent some of your friends from seeing the photos in your story. By tapping on custom, you will see your list of friends appear and you can choose, one by one, those you want to prevent from seeing your photos. They will still be able to see the photos you send them, but they won't be able to see the photos in your story.