I don't think I have never heard of a song that just used one chord but if you make one please let me know so i could see how it goes. I have heard songs that use no chords but they stay within a certain scale. At the least most people usually use two chords or more.
One chord songs are aren't very difficult to make either. Especially through the correct use of arpeggio. A good major suspended major 9th makes a great candidate. Pharrell is a master of such simple melodies.