Yes, but since neither country has outbound immigration checks you still only need show your passport once each time. There are, however, any number of land border crossings throughout the world where you are checked by officials of the country you are exiting, just so you can immediately proceed to be checked by officials of the neighboring country you are entering. Sometimes the border stations are right next to each other; sometimes they're a few kms apart. Sometimes you get to have your bags searched by two different sets of customs agents too! Oh well, just one of those funny things about the way the world works. I would, however, find this odd if it happened in an airport.