When it comes to this topic, I find the following passage very informative. I don't believe that God has any limitations. My belief is that for God to bring anything into existence, all he needs to do is decree it. The Qur'an uses the term "kun fa ya koon", "be and it is".
اللّهُ لاَ إِلَـهَ إِلاَّ هُوَ الْحَيُّ الْقَيُّومُ لاَ تَأْخُذُهُ سِنَةٌ وَلاَ نَوْمٌ لَّهُ مَا فِي السَّمَاوَاتِ وَمَا فِي الأَرْضِ مَن ذَا الَّذِي يَشْفَعُ عِنْدَهُ إِلاَّ بِإِذْنِهِ يَعْلَمُ مَا بَيْنَ أَيْدِيهِمْ وَمَا خَلْفَهُمْ وَلاَ يُحِيطُونَ بِشَيْءٍ مِّنْ عِلْمِهِ إِلاَّ بِمَا شَاء وَسِعَ كُرْسِيُّهُ السَّمَاوَاتِ وَالأَرْضَ وَلاَ يَؤُودُهُ حِفْظُهُمَا وَهُوَ الْعَلِيُّ الْعَظِيمُ
Allah. There is no god but Him,-the Living, the Self-subsisting, Eternal. No slumber can seize Him nor sleep. His are all things in the heavens and on earth. Who is there can intercede in His presence except as He permits? He knows what (appears to His creatures as) before or after or behind them. Nor shall they compass aught of His knowledge except as He wills. His Throne extends over the heavens and the earth, and He feels no fatigue in guarding and preserving them for He is the Most High, the Supreme (in glory).