No its not possible. Because there is no country which has population of same IQ that is needed to use Bitcoin. There is always to be some dumbass, that doesn't know anything about technology, and keep being ignorant, because he/she/it doesn't want to learn new stuff.
Aside from that, the country's economy and market itself would be totally reliant to internet and they should be able to provide internet services throughout the nation plus the market price would be very volatile to be used across that county.