Do all ipod touches have a app store?

Some basic apps are preinstalled like mail, FaceTime(video calling) reminders,music app(get music from iTunes) videos app(get videos from iTunes) YouTube,safari,iTunes store,weather.", photos,camera,calculator,iMessage(sends texts to other iPods iphones and ipad with iMessage must me on iOS 5 and up) and a few more. U get other app from the app store. The are free and paid apps on app store that u can get with iTunes cards. Hope this helped!