From a medium of exchange point of view, perhaps, even then though it will make interstate/global commerce problematic and the Euro's for sure will boycott business with Greece and discourage others from trading with them.
And it does nothing to solve their debt issues...unless they are prepared to fully go it alone and tell creditors to bugger off and operate without debt financing.
Frankly I don't think they can survive that way...
This is country has always been socialist and has always robbed Petros to pay Paulos after all...
It would just mean that if you want to trade with Greece, then you convert to bit coin, and you already have an international exchange built for doing that.
Greenland left, cancelled their debts, and got themselves on a sound footing. Greece COULD do the same, but as you said.. the culture is such that really becoming successful would be difficult. Going with Bitcoin would allow them to mine bitcoin, which is itself a business that can create value. Enough to run a full socialist state? Probably not, but maybe enough to jump start a government back into being fiscally responsible. Culturally it would be difficult for them, but that is reality. Culturally this will be bad for us as well. But reality doesn't give a damn, does it?