Well someone is feeling Nationalistic today
From a different perspective, the answer is yes he could probably have done it, but there are many reasons he didn't. First, it would cost China a lot in lives, money and equipment, and anger the Soviet Union by taking away the resources of Manchuria, something nobody wanted happen. Second, American support is actually quite contentious since RepChina didn't want to become dependent on it (Chiang was on his own side, no one else's). Plus, the very existence of Red Manchuria was what allowed Chiang to hold onto power for so long, as he could continue to exaggerate the threat of the Cult of Mao (even though Mao became a non-entity after he lost the civil war and became the sock puppets the Soviets always wanted) and Chiang probably knew that, so he probably wouldn't do anything even if he was on a better position