We've actually done remote experiments at Stripe in order to do just that. Where whole teams will get spread across as many places as possible and we attempt to keep everything as it was in order to discover the holes in the daily processes we have.
This is why it's a god send if you have a Scottish relative of some sort when you grow up poor in England. A couple of friends of mine used this exact loophole in order to further their education when they had to leave high school.
We almost provide that today with Checkout. If you've used Checkout on a website before, you can easily pay on another site without entering your CC info again.
This wouldn't work in the YC environment since people don't actually work at YC's offices. The startups just meet every Tuesday for a group dinner then outside of that will only appear at the YC office if they have office hours booked with one of the partners.
I think that YC would be better for something about Startups and less about drama and entertainment. I always liked the importance of space that YC has, and that people don't work in an incubator environment. I would think you could make a quality documentary that doesn't have that reality show flare.
My first job at a startup was when I was 17. I was hired as their first design and within 2 months was labelled as their lead designer when they began to hire more designers. Considering it was also my first job, it was very strange leading people who were 5-8 years older than me.