Yes. And no.
There's a small chance that he's insulted them one time too many and even his "safe" justices are pissed off enough to vote in favor of the constitution.
In the legal biz, there's something known as "black robe disease" that afflicts judges who get too full of themselves.
The U.S. Supreme Court is the vector for Black Robe Disease. You can hardly help being full of yourself there (Justice Thomas the few times I have seen him seems to be immune though), and the liberals are the worst offenders because they have a tenuous grasp on reality in the first place. She-Who-Should-Have-Recused and the Wise Latina haven't been there long enough to get over being appointed by OZero, and they'll be in his corner. But for the rest of them, especially on top of the attack at the State of the Union address, this could be the last straw.
I also wonder how many justices are speculating about whether Obama's sudden outburst was caused by Kagan leaking the result of the preliminary banc meeting vote, and just how irritated they are by a potential breach of the court's sacred confidentiality. They take it very seriously -- when Woodward wrote The Brethren, reputedly aided by a couple of former law clerks dishing all kinds of inside stories, there was an explosion you could hear across the Potomac.
I'd love to see them overturn ObamaCare purely on Constitutional principles, but if p*$$ing off a few swing votes gets it done, I'll take that.