No. He also can't lie, or fail in accomplishing his will. I have no problem with these things.
The God who created the universe, made the sun appear to stand still, and he made a sundial go backward, in order to accomplish his will.
“Also from one man, and him as good as dead, there were born children just as the stars of heaven for multitude and as the sands that are by the seaside.”—Heb. 11:12.
God is able to do everything that is in harmony with his purpose. His promises are certain to be fulfilled.
Jehovah God cannot act contrary to what he is—the holy, all-wise and almighty God. That is why there are things that he simply cannot and will not do.
Also, Jehovah cannot be unrighteous. The Bible tells us: “Far be it from the true God to act wickedly, and the Almighty to act unjustly!” (Job 34:10)
For this reason it is impossible for him to look approvingly upon the deeds of wicked men. The Hebrew prophet Habakkuk wrote of him: “You are too pure in eyes to see what is bad; and to look on trouble [with approval] you are not able.” (Hab. 1:13)
He is also a God of truth and, therefore, as was cited before, the Christian apostle Paul spoke of him as the ‘God who cannot lie.’—Titus 1:2.
Surely, then, the Almighty God merits our absolute confidence. Nothing can cause him to fail in carrying out his declarations and promises.
“The things impossible with men are possible with God,” said Jesus Christ. (Luke 18:27)
Jehovah God can be depended upon because he cannot lie or in any other way act contrary to what he is. Since he cannot do bad things, we have a solid basis for faith in the fulfillment of all the promises found in his Word, the Bible.
Unlike humans, who frequently do nonsensical, illogical things in order to prove their supposed prowess, God's purpose for humans, and for the universe, is driven by love. Making rocks that are too big to lift does not accomplish anything in harmony with his will and purpose.
And I praise him for his unswerving integrity.
The One saying, ‘My own counsel will stand, and everything that is my delight I shall do.’” (Isaiah 46:10
Awake! 1977 1/22 p. 27 Can God Do Everything?