Yes if the user is using chrome or has the Google toolbar installed on their browser or the "googleupdate.exe" service running on their machine
This person is implying that Chrome, Google Toolbar, and whatever googleupdate.exe is, actively track your site usage and report it back to google. If any of this were true, the backlash would be huge. I don't believe it, but you are welcome to find such language in Chrome's EULA. It also would be very very easy for someone to prove these claims by simply sniffing their own network traffic, and they could post for the world to see exactly what is being reported back. So if it were actually happening, there would be 1000 blog posts with screenshots of traffic sniffers.
Now, in fairness to the person who answered your question: you did ask "Is it possible. . ." and perhaps you received an answer that was overly literal. It's "possible" in the same way that it's "possible" that Bill Gates could possibly look at your private photos only if you run windows. Does it actually happen, no.
the visited site landing page has one of Google services installed like ads/analytics/search/+1 buttons etc.
This is what I covered in my original response. Those services ask your browser to report back a cookie that was set on the search page. If you block cookies going back to *.google.com, you defeat this "tracking".