Hey @Wolfgang,
It is indeed possible! We’re not able to help with custom code very much, but we’ve fortunately compiled a great overview of using the tribe_get_events() function – with some examples, too – in this Knowledgebase article here: https://theeventscalendar.com/knowledgebase/using-tribe_get_events/
Check that out for sure!
If you want to do even more with that function, then as noted in that article it is really just a “wrapper” for WordPress’ built-in WP_Query class. So if you want to get really specific with category or other sorts of filters, check out this article on WP_Query → http://codex.wordpress.org/wp_query
You can use any of the category / tag / taxonomy options there in the tribe_get_events(). Pretty neat.
It might seem like a lot of reading there but you can skip anything that doesn’t relate to showing events in the past, and/or showing events of a specific category. Plenty of examples in both articles so hopefully this helps you get started here.
Let me know if you have any other questions, comments, concerns, etc.
Thanks!
George