Hi,
Thanks for the interest in the Events Calendar Pro.
What you describe is possible to have a past event archive, however, it is not a feature of Pro to have a Separate Archive Page. So you would have to customize it yourself and we could help answer questions, but for the most part you are on your own for customizations.
The events are a custom post type and times are custom fields you can use them in a wp_query to get the past events on a custom template.
The reason we do not have this feature is WordPress considers the Month, List, and other views to be an archive template.
You maybe to setup something using the Event Rocket
https://wordpress.org/plugins/event-rocket/faq/
It is an unofficial plugin that does have some shortcodes that might help.
Let me know if you have any follow up questions.
Thanks