This issue you have is that you are using the shortcode on the same page multiple times. This is possible but requires a little more complex setup.
But first to answer your question …
It would be possible but to make the names redirect to a link that was entered in Links section but that would require quite a bit of reworking the template using PHP, so, that is not easily done, sorry.
To deal with the name links as they are, you have two options.
The first is the simplest. Go to the Connections : Settings admin page and click on the Advanced tab. Under the Permalinks section, uncheck the Name base option and save.
With this option disabled the names will no longer be links.
The second requires you to create a “Results” page. The name of the page is not relevant, can be anything you choose.
After you create and publish the new page, add the
[connections] shortcode to it only once, with no options set.
Go to the Connections : Settings page and set the Directory Home Page to this new “Results” page.
Now, on your original page, add the
force_home='true' shortcode option to each shortcode instance.
Now the name links will redirect to the newly create “Results” page.
Hope that helps!