No. ChordSkills is based on solid Music Theory concepts of chord progressions but you don’t have to know any of this in order to play. You will pick it up as you play!
ChordSkills main aim is to teach you to recognize chords by ear, and introduces Music Theory novices to the basic systems of notating chords. It uses two methods to tell you visually which chord you are playing: Standard Music notation (C, Dm etc) and the simplified Nashville Number System (1, 2m etc).