Hi,
It is possible to remove events, but it is not a default feature and takes a little bit of coding. I do have a snippet that gets you 90% there.
This links takes you to the snippet to add to your theme’s function.php:
https://gist.github.com/jesseeproductions/4b215d2b854a6f6cb649
It is already setup to not show Events from two categories on the month view. You can change those categories to ones you create in your calendar and then they will not show in the calender, but will be in the List View(or any other view including searching) They will not be searchable in the month view though. That maybe possible, but would take some custom coding on your part and is beyond the support we can provide on the forum.
Let me know if that is what you are looking for.
Thanks
Note – Moved this topic to the Pro Forum as it is relevant to that and not our Community Events Plugin