adding one unique social account link per page

Is it possible to create 5 pages and use one unique facebook link per page?

Depending. 

Can you describe more clearly what you want?

Yes! I've done this ( the same social icon but with different links) even within one page using FontAwesome. You can see it in action here. It requires a bit of finesse. You'll need to use code blocks and Font Awesome. I have a post on adding Social Icons to the nav bar using the same method, so you could follow these steps and just use a code block rather than putting things in the nav. 

Step 1. Copy and paste the stylesheet code from Font Awesome in your Code Injection

Step 2. Add a code block with the icon and link you want. Here's an example:

<a href="https://www.yourlinkhere.com" target="_blank">
  <i class="fab fa-facebook-f"></i>
    </a>