Howdy Marcus,
I wish we did have something like that. We have talked about the idea quite a bit. And recently accepted a feature request to gauge how much demand there is for this. Please vote on it if this is something you would like to see us build: http://tribe.uservoice.com/forums/195723-feature-ideas/suggestions/6610185-standalone-version-of-the-events-calendar-not-reli
It is also possible to run a WP install separate from your current site, and embed just the calendar portion of it in your site as an iframe. But of course this is a pretty big workaround, and might not fill your needs.
Does that answer your question?
Cheers!
– Brook