China has been producing the MA60, a commercial turboprop regional aircraft, for a number of years. Interestingly, the few Chinese airlines that have them mostly just park them. Perhaps they know something we don't. Some are in use outside China. Admittedly, this is not a jet.

China would like to get into larger jet aircraft of its own, though production of Airbus 320 in China has already been done, from components sourced from various places. So I guess validity of the comment "they haven't delivered a single passenger jet" depends on how you want to interpret the situation.