L&L is currently just designed to loop through CPTs in specific WP tables and there isn’t a built-in mechanism to loop through custom tables, so I imagine navigating server files isn’t something L&L will be able to do for a while, if ever.
If you do use PHP to create a shortcode for that, I’d love to see it!
If the files happen to be WP attachments, you could potentially access the data that way in L&L, but the PHP shortcode approach is probably the best outside of that.