Can Felix Hernandez win the Cy Young with a .500 record?

Most of the time the Cy Young goes hand in hand with the teams success. Not all the time but much of the time. I always remember Steve Carlton and his 27-10 record with the Phillies in 1972. The Phils that year only won 59 games I believe. The point I'm trying to make is that an 11-11 record won't cut it. Yes, his stats are worthy but his win-loss isn't. It's all about the bottom line. It's about winning!