Simplist Answer: No - Shortcodes are not supported out of the box.

The BuddyBoss App works directly with APIs. Only standard things are available on the App. If you added some custom plugins or used some shortcodes to display the fields, nothing will work on the App. You will need to customize it to make it work using our Developer Tool Kit.

You can use shortcodes on webpages and then pull them in as Web-Fallbacks. Please see Web-Fallback article.