No, their successes highlighted the fact that had the defenders of the Great Wall received more support from Jiang, they could have held out much longer against, if not outright repelled, the Japanese. The Japanese are no match for China when it comes to staying power, and had China held the Great Wall against them, the Japanese would have been severely impaired in their war resources.
Even if Chiang Kaishek poured Nationalist resources into that battle the outcome may have been the same for the battle. Even if the outcome for the battle was different the overall war with Japan would still have began to Japan's advantage and continue that way for at least a few years. Chiang had painted himself into a corner by picking fights with other Chinese factions with the clear goal of consolidating power under himself, rather than even the Nationalist party which was just a vehicle for him. But to be fair, Chiang was caught between a rock and a hard place given the historical timing of his position in the ongoing political revolution, national re-consolidation, societal modernization, and international weakness of China at the time.