Hi Emily,
It’s hard to suggest how easy something might be simply because everyone’s development knowledge, WordPress experience and indeed their working knowledge of our own plugin line-up is different.
I’d suggest that what you are outlining is is a fairly involved customization, but not necessarily a difficult one. You could for instance re-use many existing features (day view, month view and – if you also have Events Calendar PRO – week view) and could build links to each of them – dynamically setting the date for each – so as to open up a list of the next day/week/month’s events, etc.
That to say, you can definitely accomplish this. How you go about it and how short/easy a task it will be will vary according to many factors.
Do also remember that, though we are unable to support them here, third party plugins like this one provide shortcodes which, when carefully wielded, can also help you to build up ad hoc views (such as all events next week, all events next month, etc) 🙂
I hope that helps!