Can the Green Bay Packers realistically win the Super Bowl?

First of all, i'm a huge Packer fan but this Super Bowl (XLV) is really scaring me. The Pittsburgh Steelers are an excellent team with a ferocious defense and most importantly, Ben Roethlisberger. I know we (Packers) have Aaron Rodgers, but I just think the lack of a running game and the inexperience factor is going to catch up during the Super Bowl. The Packers defense is also very talented, but has little to no "big game" experience. Also, Roethlisberger is so good at extending plays and he just seems impossible to beat when the game is on the line. So, that brings me back to the question... Do the Packers actually have a shot at winning the Super Bowl?