You can only make a separate group called best friends, where if you post a story and choose this best friends option, only the people you chose will see your story.

Hello!!! Yes, it is possible but through the Statigram application. The Statigram app allows you to create multiple groups with your contacts. In the Instagram app you can only create a list of best friends.

I recommend that if you want to grow more on Instagram you can see a link in profile.