How to make all menu links without www? (shortened menu links)
No, this is something that is been handle at the server or DNS level. From the GUI, you do not have control of where you application (Drupal) can will run. 

If you are running Apache you can add this code to your .htaccess

RewriteEngine On
RewriteCond %{HTTP_HOST} ^your-site.com [NC]
RewriteRule ^(.*)$ http://www.your-site.com/$1 [L,R=301]


Source: Force drupal 7 to place &quot;www&quot; in front of urls