It's not in the database yet, no. The description of when a game should be added says that it should be actually shipping before it's added to the database if it's from a new publisher. Since this is my company's first game and I won't be shipping until about August 6, I think I should wait before adding it to the BGG database.
I'm eager to get it in the database, of course! But I want to make sure I do it right and respect the way things are done on BGG.
Creator of Chaos & Alchemy
I think it is okay to submit the game to inclusion in the BGG database now. Nearly all Kickstarter games are entered before the project even starts. I highly recommend that you submit it ASAP so that you can start posting information and pictures to get people informed and excited BEFORE you release it and before GenCon.