The short answer is Yes!

Because all aspects of managing software are on the Internet, it is possible to have remote student performances, remote Judges, or even an entire contest performed online instead of in person.

Obviously a system for video streaming between the performers and the Judges must be established. Applications such as Skype or Facebook Messenger are able to use cameras built in to most tablets and laptops to connect users (you will need to give the application permission to access your camera and microphone).