Hi Dominik!
Thanks for the question.
If you visit the main events page on our demo site (you may need to click “Show Filters”) you can see our Filter Bar plugin in action, and this happens to supply a time filter.
It’s not quite as precise as perhaps you are seeking but certainly would be a step closer and, as with all our plugins, is built with customizability in mind. If you are or have access to a good WordPress developer you could probably tweak it to add the sort of granularity that you require.
Beyond that, you could of course create a customization achieving your goals without Filter Bar, but either way would certainly be an advanced customization and so the degree of support we can offer is, I’m afraid, on the limited side for this kind of task.
The following knowledgebase article might be a useful resource for you if you decide to explore the custom route without Filter Bar:
theeventscalendar.com/knowledgebase/understanding-the-tribe-events-bar
I hope that helps – and let em know if you have any further questions!