God has created our world within a construct where various rules apply. Physical rules guard what can and cannot happen. Also, God cannot intervene on our free will. If God had complete control, why would other faiths exist at all? Using this example, we can assume that God can create rules for himself, which he cannot break. For example, God cannot force any man to become a Christian. Therefore, why should this creation differ? If God places the rock knowing he will not be able to lift it, then it would seem he cannot.
However, looking at the question from another perspective, we can see this may not be the case. Even though God's intervention has not been clearly evident in recent history, does this really mean he cannot reverse his own rules whatsoever? It may be that God is simply leaving the rules as they are in order to preserve the freedom and happiness of humanity. So overiding them may be possible if entirley nessecary.
Overall, since the lack of evidence of God's power and the Christian belief that God is all powerful overide each other, the question is impossible to anwer, and relies soley on belief.
However, looking at the question from another perspective, we can see this may not be the case. Even though God's intervention has not been clearly evident in recent history, does this really mean he cannot reverse his own rules whatsoever? It may be that God is simply leaving the rules as they are in order to preserve the freedom and happiness of humanity. So overiding them may be possible if entirley nessecary.
Overall, since the lack of evidence of God's power and the Christian belief that God is all powerful overide each other, the question is impossible to anwer, and relies soley on belief.