This doesn't really count, but remember the Iraqi , Faisal Faisal, who narrowly missed out on the 2006 and 2010 Olympics? I messaged him and he says he's coming back onto the slopes next year, probably too late for Pyongchang but is aiming for Beijing 2022!
Other countries that were doing decently in past Olympic cycles include the Bahamas (snowboarder), Panama (bobsled team) and El Salvador (had a good alpine skiier who stopped racing suddenly). But that's very speculative that anything from them will happen, especially now.