Shortcode for Calendar which omits a certain Category

Allow me to be more clear with my title.

Is there a way for me to create a calendar (ala shortcode) for items which don’t have a particular category or tag?

What I’m trying to do is this: I’ve got my local calendar with all its usual categories and tags.
BUT, I also now created a category for events taking place beyond my locale.
This way I can re-create my original calendar to only feature everything that doesn’t have that ‘beyond my locale’ category…and a different calendar which of course would make sure to list only those events taking place ‘beyond my locale’.

Hope I explained that well.

Is this possible?