Is Allaah The Almighty able to create another god?

All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.

Please note that the question is intrinsically incorrect, for Allaah The Almighty is Able to do anything. He the Almighty, Says (what means):

•        {There is nothing like unto Him, and He is the Hearing, the Seeing.} [Quran 42:11]

•        {He is not questioned about what He does, but they will be questioned.} [Quran 21:23]

There is a rationale behind everything that Allaah The Almighty  does.

At the same time, Allaah The Almighty is One, Who is the Eternal Refuge, Who neither begets nor is born, nor is there equivalent to Him. How could a sensible person imagine the existence of two deities?

For the sake of argument, if there were two deities, they will either vary in power or be at the same level. However, both assumptions are erroneous, for if they vary in power, the more powerful one will be the only god, and the other will be subordinate to him and consequently will not be considered  a god. If they have the same level of power, and one of them wants to do something while the other does not, there will be a state of disorder, for it would be impossible to imagine that one thing  is  both existent and non-existent at the same time.

Allaah The Almighty Says (what means):

•        {Had there been within the heavens and earth gods besides Allaah, they both would have been ruined. So exalted is Allaah, Lord of the Throne, above what they describe.} [Quran 21:22]

•        {Say, [O Muhammad], "If there had been with Him [other] gods, as they say, then they [each] would have sought to the Owner of the Throne a way." Exalted is He and high above what they say by great sublimity.} [Quran 17:42-43]

•        {[More precisely], is He [not best] who created the heavens and the earth and sent down for you rain from the sky, causing to grow thereby gardens of joyful beauty which you could not [otherwise] have grown the trees thereof? Is there a deity with Allaah? [No], but they are a people who ascribe equals [to Him]. Is He [not best] who made the earth a stable ground and placed within it rivers and made for it firmly set mountains and placed between the two seas a barrier? Is there a deity with Allaah? [No], but most of them do not know. Is He [not best] who responds to the desperate one when he calls upon Him and removes evil and makes you inheritors of the earth? Is there a deity with Allaah? Little do you remember. Is He [not best] who guides you through the darknesses of the land and sea and who sends the winds as good tidings before His mercy? Is there a deity with Allaah? High is Allaah above whatever they associate with Him. Is He [not best] who begins creation and then repeats it and who provides for you from the heaven and earth? Is there a deity with Allaah? Say, "Produce your proof, if you should be truthful."} [Quran 27:60-64]

Now, it is obviously impossible, based on reasoning and textual evidence, that two deities could coexist. It is also inconceivable that a god can be created from a previous state of nothingness. 

Allaah Knows best.