No. According to David Drummond's postscript to http://investor.google.com/corporate/2012/founders-letter.ht...:

"Larry, Sergey and Eric have agreed to subject their shares to a Transfer Restriction Agreement. This agreement will maintain the same link between their voting and economic interests that exists today, even if they sell some of their non-voting Class C shares. If the founders or Eric wish to sell or transfer their non-voting Class C shares, a “stapling” provision in the agreement requires them to either sell an equal number of Class B shares, or convert an equal number of Class B shares into Class A shares. "