No.
People within resilient communities do trade for goods and services they don't produce locally, just like we do today. The difference is that resilient communities produce much more of what they do use locally -- particularly food, energy, and essential products.
This local production means that resilient communities aren't completely and utterly dependent on international trade flows, the stability of the financial system, and global economic performance. A dependence currently so profound that even a minor hiccup could cause our existing communities to shatter (or if the shock is bad enough, become feral). Further, local production means that every resilient community contains a viable local economy that can become the basis for continued prosperity even when the global economy falters (like the slow motion train wreck we are currently experiencing).
Fortunately, almost all of the technology trends are pointing towards producing more locally. Ride that trend.
NOTE: One of the reasons I'm working on building new software economies is that they will come in very handy in the future as things get worse. They make it easy for resilient communities to bootstrap each other economically.