Hi – great question!
I suspect you could do so, but it is probably pushing the bounds of what you can reasonably do with tribe_get_events() alone – unless you also make use of meta data (which would need to be set up to mark relevant events as taking place on the weekend) – or else you could add your own conditions to the query by filtering the different components that make it up.
Alternatively, though less efficiently, you could retrieve all events in a given date range and discard those not taking place on the weekend with some custom PHP logic after the query results are obtained.
In either case it’s really a bit beyond what we can assist you with here, I’m afraid, but hopefully that gives you some ideas to explore.
Thanks!