It is possible to know who has viewed your Instagram Story even when you are using a computer.
Steps

Step 1. Type https://www.instagram.com in your web browser
You can access the Instagram website using any browser on Windows or macOS.

Step 2. Log into your Instagram account
Enter your username and password, then click Log in, or if your Instagram account is linked to Facebook, click on Login with Facebook. Instagram will send a confirmation code to the phone number you provided when signing up.

Step 3. Enter the confirmation code and click Confirm
This code can be found in the text message sent by Instagram. You are now connected !

Step 4. Click on your profile picture
It's near the top right corner of the page. This opens your story.

Step 5. Select the eye icon
It is located at the bottom left of the story. You will then see a list of all the people who have viewed this element of your story.