Hi!
The first thing I’d suggest is posting this as a new feature request over on our UserVoice page 🙂 … there may indeed be an existing request and if so please feel free to up-vote it in order to show your support.
Other than that, yes, this would be possible as a customization: you could for instance “listen” out for the creation of new events using the save_post_tribe_events action (or the standard save_post action) and set it to a published state if it was submitted by someone on your whitelist.
For more details, please see:
codex.wordpress.org/Function_Reference/wp_update_post
I hope that helps 🙂