No. I found out on the last day of orientation I would be doing YouTube ads. I knew there was no way I could do that for 18 months, and I told my manager. He was understanding, but there wasn't really anything he could do. He passed my concerns up the management chain.
A couple weeks later my manager gave me their response, which was, literally, "We don't care." That shocked me a little, and I knew at that point I wouldn't be at Google for very long. Maybe that was even the right thing for them to do, since I was proving myself to be the kind of employee who wouldn't work on a project they weren't interested in for a year and a half just because it was good for Google, or good for their potential career at Google.
For a short time I led a 20% project with three other engineers that was in my interest area, and after we won an innovation award I hoped that it might make the Google bureaucracy more sympathetic to my preferences, but management didn't care. I left not long after that.
(tl;dr: I learned that Google is a bureaucratic megacorp.)