You can freeze this Irish potato soup IF you don't add the half-and-half. After simmering and puréeing the soup, let it cool completely. Pour it into freezer-proof resealable bags or containers and place them in the freezer for up to three months. To thaw the soup, place the container in the fridge and let it thaw there. Gently reheat the soup and add the warmed half-and-half. Whisk the soup or use an immersion blender to bring everything together into a smooth soup.