With 2 known carrier yards? Technically it's probably perfectly achievable, (i.e. starting producing them really fast).So I think it's VERY possible for PLAN to catch up with the USN's building records during 1950-1989 in most surface combatant ships during 2005-2044 (except the carrier vessels, they are really too expensive and difficult to build, I don't think it possible for China to build another 12 vessels by 2044).
Granted, right now PLAN isn't exactly in a position to start accepting and ordering them faster than they're doing it right now, but for different reasons.
If there is anything we haven't actually seen yet - it's the mass-production of SSNs.