Has there ever been a society similar to current North Korea?

Well I do not know of any state like North Korea either, but I feel it is important to mention that both North and South Korea have pretty special histories which contribute to their abnormal democratic and communist states.

Unlike the rest of East Asia Korea never had its own progressive modernising period. Between 1910 and 1945 Korea was occupied by Japan, Japan also had influence over Korea for a few decades before this. Thus, Japan enacted a few modernising reforms (e.g. kabo reforms) but this was not comprehensive enough and is not comparable to the Meiji Restoration in Japan or the May 4th Movement in China.

Thus we can skip forward to the end of the Korean War (1950 - 1953) (there is a whole different discussion here for the causes of the korean war) and note that both North and South Korea had authoritarian states. In fact, for the first decade and a bit North Korea was a more productive state than the south. The thing which makes North Korea so abnormal is that although it was a communist state, there was no legitimisation through the proletariat like we see in other Communist states. Instead we see a Communist state where the reforms were enacted 'top-down' which means that the leader gets his legitimization from his own 'godly' status, not a normal communist belief. Thus while i cant explicitly tell you that there are no other states similar to North Korea, I can tell you that North Korea is definitely abnormal and that this has come from the past century and a bit where imperialism shaped the situation that there is in Korea today.