Hi Mary,
Anything is possible!
Please check out our Themer’s Guide first of all as this covers the basic processes for safely overriding and customizing our templates without modifiying any core code.
By setting up custom styles and fresh templates, you could essentially re-tool week view to look any way you please. While running through the entire process is outside of the scope of support we can provide you with here on the support forums, there is effectively no limit for things like this.
You could even “get creative” as I believe I observed in the case of another community member who basically repurposed the existing month view for this task, but showed only one row. Again, such a customization is something you as the designer/developer would need to drive forward – but it does highlight just how flexible a system The Events Calendar/Events Calendar PRO is to build on.
I hope that gives you some ideas!