Possibly, but if that were the lone reason it would be faster and easier for the aircraft to travel to where the carrier is based rather than have the whole carrier travel to where the aircraft are manufactured.
So it's probably a less "exciting" reason.
Wouldn't it be the other way around? Yes, the Fujian took 3-4 days to travel up to Qingdao, versus simply flying the carrier-based aircraft to be embarked down there in a few hours on the same day, but it would still be a long flight + the possible use of multiple tankers to extend range to get down to there, assuming they weren't using drop tanks.
They'd also likely land at the airbase they're going to once they got down there first, rather than straight to the carrier, just to take off again later to embark onto the Fujian. In contrast, assuming it is up there in Qingdao to embark more aircraft for training if that's where the bulk of the aircraft currently are, then it seems to me it would be a lot easier and logical to just have carrier-based aircraft from the nearest airbase embark on the Fujian in the Yellow/Bohai Sea, which in terms of distance from whatever PLANAF airbase near Qingdao to the carrier, would probably just be a 20-40 minute flight? That's just my two cents.