I don't believe that's true. He was obviously not a programmer by trade and didn't write anything for the Mac, but I believe he did a little programming back in the day.
Jobs never designed a circuit or programmed. He used Woz to do both at first, even when Jobs was supposedly working nights at Atari. As Pong enginerr Al Alcorn
put it:
Jobs never did a lick of engineering in his life. He had me snowed," Alcorn later recalled. "It took years before I figured out that he was getting Woz to 'come in the back door' and do all the work while he got the credit."
At a speech in 2006, Wozniak also commented Jobs that "had never programmed in his life".
Jobs didn't know the details about how things worked, and he didn't have to know. He hired others to do the design and technical work.
Jobs was great at speeches and he was good at being the ultimate decider of what the common user would like. Basically, he was a terrific enabler of producing technologies for mass consumption, not the inventor of them.
Some have compared him to people like Beatles manager Brian Epstein... he didn't write or sing the songs, but he sure marketed them and the group.