Good evening Pim and welcome back!
Thank you for reaching out to us.
I would love to help you with this topic.
Since I cannot see your actual site, this will be a slight shot in the dark.
But, the good news is yes, you can move stuff around, add some things and even remove what you do not want.
It does not require any special coding. All you need to do is to create a template override (view personalization). You might want to read our Themer’s guide to get a sense of how that works.
In other words, by downloading the file responsible for the view you want to change, tweaking it and uploading it back in your theme folder (under the /tribe-events/ folder).
Also, could you please provide us with your complete system information in a private reply using the instructions found in the following link?
https://theeventscalendar.com/knowledgebase/sharing-sys-info/
Let me know if that helps.
Have a great day!
Geoff B.