To be honest, this is too extreme for me.
No spending? How would I get food, or pay my bills? Even with allowing cash, all my bills are digital. There's a few local places that sell food, but they're outside my budget.
No work? My coworkers would probably be upset if I abandoned them suddenly for a week. I work at a 24/7 Subway at a truck stop, things are usually all hands on deck.
Plus, "the system" is rather vague, like others seem to be saying. Sure, business won't get money for a week, but... that's it.
The bus boycott that started with Rosa Parks was successful because everything was clear: end segregation on buses. Another thing was that people could help each other out: people with cars carpooled with people who didn't. However, here, it's just "no spending money". The only way one could get food would be to buy food before the boycott starts... from the corporations which are being boycotted.
Personally, I won't be participating, although I have no issue with anyone who does. Say what you want about me, but I'm quite content waking up at 5AM to go work a full shift. The work environment is overall healthy (at least from my perspective), and the nature of the work suits me surprisingly well.