Can I creat a View output using the root path?
Your view will need a path set, in this case 'home' and then within your site's Site Information settings just set 'home' as the Default front page (for Drupal 7 got to http://www.yoursite.com/admin/config/system/site-information).

When you access the URL of your site you will see your View, setting the homepage menu link to '' will also direct users to your homepage without adding '/home' to the URL.