Sort of yeah. When Favre lost a lead or made a bad play he shook it off, fired up his teammates and went back to work. When the same happens to Rodgers he looks dejected and scared and goes into his shell. That, or he yells at the defense to "Get the F___ing ball back!" and then does nothing with it when they do, twice.
Other than that, Favre's mentality when it was crunch time is he would look at a play and say to himself, "I think there's a good chance of scoring on this throw." and he took the chance. Rodgers' mentality is, "I think there's a chance of an INT if I try this throw, so I think I'll just take the sack." Gotta protect that passer rating!