Of course not!
Check this out:

The Obama administration is “working overtime” to make sure that everyone who wants health insurance by January first is able to get it, spokesman Jay Carney told reporters on Monday.

But what about the president himself — has he signed up for insurance yet? a reporter asked Carney at Monday’s briefing.

“I have no updates on that. The president will purchase insurance on the exchanges,” Carney replied.

“He doesn’t have to do it,” the reporter said.

“He doesn’t,” Carney agreed. “Obviously, it’s — the enrollment’s till March 31st. So when we have an update on it, we’ll provide it to you.”