ProbablyNo Barlog was the director for the first 8 months of development.
Though wasn't Stig always in charge of God of War 3? I mean, Jaffe was still working on God of War 3 before he left, but he wasn't directing, nor did he direct 2 (Despite being there).
I'm more sad at how Kat was done dirty and we'll never get another Gravity Rush.