Not really. Chaos magic and Discordianism do have some parallels and have had some influence on one another, but they're entirely seperate. Plenty of Chaotes do ascribe to Discordian philosophy to a degree and many Discordians go on to become Chaotes, but neither requires the other.
They're like pepperoni and pizza. Go well together, and are associated with one another by people, but exist fine on their own.