I don't think so. He's very committed to his job, and is pretty much the only thing he REALLY cares about, and may be the only thing he does well. I'm pretty sure Walt was on the run in the season opener because Hank found out.
Also, I read somewhere that Vince Gilligan said the opener is the actual opener of part 2 of this season, so that makes me think Hank finds out this upcoming episode.