Yes, but he was quickly rehabilitated after Mao’s death, and anyways, everyone was in the same boat.

Xi is the canonical example of his so named “lost generation:” forced to leave high school early, sent down to the country side, rehabilitated and given basically an cursory education as a legacy admit to Tsinghua. He is the first Chinese leader since Mao who can’t speak a word of English, less educated than his predecessors, more autocratic (vs. Hu), less outspoken (vs. Jiang) and more on ideological message.