This a hard question and why I chose "I might". It all depends on where we all are located and how much we know when this situation were to occur. If you were stuck in downtown NYC it would be way harder than being in the mountains (and sparsely populated) of a place away from millions of people.
Couple that thought with the fact most people say they could survive, but how many could survive the harsh northern winters without power and being on the run? Again it depends on the situation (or time of year in certain areas).
Then we get to fresh food and water...yikes. I think most people who think they would survive the entire time are either crazy or disillusioned. I have hope I could make it, but realize the possibility would be a challenging one.