Young people in Shanghai, Beijing, Shenzhen, and Xiamen/Amoy haven't had the means for a flat since... at least 6 years ago, when the per-square-meter price broke CNY 50 K. It's been understood as "maybe my parents have some savings from the 拆迁 demolition money for the down payment" sort of deal since then.

Smaller cities are more possible though.

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Tangential: a good part of everyone's income in those big cities goes into rent and mortage, from the average worker to the restaurants and shops downstairs. It's always been screwed.