Maybe, but the key turns in this game were:
My Turn 5: Duchess - 2 Silver - 2 Copper -> Province
My Turn 7: Duchess - 2 Silver - 2 Copper -> Province
And, the final deck composition was (ignoring VP cards).
Me: 8 Duchess, 1 Rebuild, 2 Silver
Him: 2 Duchess, 4 Rebuilds, 3 Silver