I can answer this question authoritatively, keep reading.Can God make a rock so big that he can't lift it? Who can really answer this question authoritatively?
Let us consider the idea of Omnipotence. Omnipotence means 'power to do all, or everything'. (The original meaning in Latin may have been 'power over or in all'.) And we are told in Scripture that 'with God all things are possible'. I find it common enough in argument with unbelievers, to be told that God, if He exists and were good, would do this or that; and then, if I point out that the proposed action is impossible, to be met with the retort 'But I thought God was supposed to be able to do anything'. This raises the whole question of impossibility.
In ordinary usage the work impossible generally implies a suppressed clause beginning with the word unless. Thus it is impossible for me to see the street from where I sit writing at this moment; that is, it is impossible to see the street unless I go up to the top floor where I shall be high enough to overlook the intervening building. If I had broken my leg I should say 'But it is impossible to go up to the top floor' - meaning, however, unless some friends turn up who will carry me.
Now let us advance to a different plane of impossibility, by saying, 'It is impossible for me to see the street so long as I remain where I am and the building remains where it is.' Someone might add 'unless the nature of space, or of vision, were different from what it is.' I do not know what the best philosophers and scientists might say to this, but I would have to reply, 'I don't know whether space and vision could possibly have been of such a nature as you suggest'. Now it is clear here that the words could possibly refer to some kind of absolute possibility or impossibility which is different from the relative possibilities and impossibilities we have been considering. I cannot say whether seeing round corners is, in this new sense, possible or not, because I do not know whether it is self-contradictory or not. But I know very well that if it is self-contradictory it is absolutely impossible. The absolutely impossible may also be called the intrinsically impossible because it carries it's impossibility within itself, instead of borrowing it from other impossibilities which in their turn depend upon others. It has no unless clause attached to it. It is impossible under all conditions and in all worlds and for all agents.
"All agents" here refer to God Himself. His Omnipotence means power to do all that is intrinsically possible, not to do the intrinsically impossible. You may attribute miracles to Him, but not nonsense! This is no limit to His power. If you choose to say 'God can give a creature free will and at the same time withhold free will from it', you have not successfully said anything about God: meaningless combinations of words do not suddenly acquire meaning simply because we prefix to them the two other words 'God can'! It remains true that all things are possible with God: the intrinsic impossibilities are not things but nonentities. It is no more possible for God than for the weakest of His creatures to carry out both of two mutually exclusive alternatives; not because His power meets an obstacle, but because nonsense remains nonsense even when we talk it about God.
Masashi wrote:
The authoritative answer is No. The question is self-contradictory and carries within itself an intrinsic impossibility, it is non-sense.Can God make a rock so big that he can't lift it? Who can really answer this question authoritatively?
Note: My answer is 100% the same as C.S. Lewis' answer in his book The Problem of Pain. I highly recommend Lewis and specifically this book for anyone who struggles with or is faced with answering the question, "If God is Omnipotent and God is Good, why then do bad things happen to good people?"
Nothing which implies contradiction falls under the omnipotence of God. ~ THOMAS AQUINAS, SUMM. THEOL., IA Q XXV, ART 4