Hi Klove3,
The short answer is yes. Your database does have the potential to autogrow and consume all space. However, I have seen environments with 30 ESXi hosts and hundreds of VMs never exceed the database size of 15 gig. Most of the growth occurs with error logging. If you are concerned, set a hard limit, but I would not recommend doing so.
Hope this helps and if you need more details, I will be happy to assist.