Not quite - you still have tracking in Google Chrome that links by IP.

You can compile Chromium with the tracking flags off, and then search in incognito.

I am not sure of that. Some discussion here:

https://news.ycombinator.com/item?id=6701321

Browsing google incognito doesn't prevent Google search from receiving your IP address, which they are still able to do tracking and geolocation by.