No, because it didn't happen? Orkut was rather famously a 20% project by and named after a Google engineer, predated "The Facebook" by weeks and Facebook as a global public social network by two years, and was shipped more as a response to Friendster (which Google had just tried and failed to buy for $30M) and MySpace.[1][2]

Orkut had more users in India than Facebook until 2010[3] and in Brazil until 2011,[4] by which point Google had moved on to trying to make Google+ happen.

1: https://www.baltimoresun.com/news/bs-xpm-2004-01-24-04012400...

2: https://techcrunch.com/2006/10/15/the-friendster-tell-all-st...

3: https://web.archive.org/web/20100828201838/ibnlive.in.com/ne...

4: https://techcrunch.com/2012/01/17/facebook-in-brazil-a-big-e...