Short answer

Yes. In Islam, Allah (﷾) alone runs the world, at every moment, and He never tires or sleeps. The Qur'an says He "rules (all) affairs from the heavens to the earth" (32:5). The angels do real work, but they "act (in all things) by His Command" (21:27). Jibril (Gabriel) brings the revelation. Many scholars say Mika'il (Michael) is in charge of the rain. Israfil will blow the Trumpet on the Last Day. The Angel of Death takes souls. None of them runs the world for Allah (﷾), and none acts without His leave.

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