I would say generally no, outside of a mention here or there that he's synthetic, but that doesn't mean he the same man that was on TNG, because he isn't. He died and his consciousness was placed in an artificial body (with even the neurological disease that hung over him now gone). Now that raises all kinds of religious, spiritual, ethical, and legal questions which unfortunately this series hasn't addressed. It's like the creators brushed Picard's new artificial life to the side, like they were embarrassed about it, until this week. Instead of wasting a season on a time travel story, the second season could've been about Picard's new lease on life and what that means to him personally, his friends, the synths, and other artificial lifeforms.
But as it stands, the man Geordi knew died, and a doppelganger stood in his place. Can we say that everything that made Jean-Luc the man he was actually got transferred over? And further, the 2399 recluse Picard that got the new synth body was still a shattered, hollowed out version of the man La Forge served with. Further, when you put a parent's children in danger takes it to another level, regardless of the bond the two men have.