Not really. That is nothing more than a civil contract issue between two parties. And to have a valid contract there must be an offer, acceptance, and consideration. Not just the promise of future consideration either, so saying that Google could make money off of you later (by e.g. directed advertising) wouldn't make an enforceable contract.

But as it stands things are even more lopsided towards Google. Go check their terms of service, I'd bet they have a half dozen different ways of indemnifying themselves from liability in the event they don't deliver that email.