You can use Laravel with some effort, but it doesn’t work very nicely.
Laravel by default assumes that the webroot of your website can be changed to the public directory, and the other folders are not web accessible. You could edit the index.php file and move everything from the public, or add some good .htaccess rules to the main folder.
Another issue is that many administrative functions of Laravel require the Artisan command line tool, which you can’t use on the free hosting server.
Honestly, Laravel was not designed with a regular web hosting service in mind. It can work, but it won’t work well.