Deploy WordPress in a sub-directory

The jumpbox for WordPress locates the app in /var/data/wordpress, which corresponds to the web root of the jumpbox. We'd like to have a directory above the WordPress app. and be able to change the name of the directory that WordPress is deployed.

Is there a way to change the location of WordPress so that it is deployed in a sub-directory of the site, as opposed to the site root?

Please note if changes we make will effect our ability to implement the jumpbox for WordPress.

I realize we could do this using the jumpbox for LAMP, but we'd like to take advantage of the upgraded jumpboxes.