A report from ibn Abbas on the pre-existence of the Prophet ﷺ?

Is the report below authentic? > Ibn Abbas رضي الله عنه narrates that Allah inspired Isa (a.s) saying O Isa, believe in Muhammad (salallaho alaihi wasalam), and whosoever form your Ummah finds him should believe in him, If I had not created Muhammad (salallaho alaihi wasalam) then I would not have created Adam, If not for him I would not have created the paradise and hell, When I made the throne on Water, it started to shake, I wrote La Ilaha Il Allah Muhammad ur Rasul Ullah, due to which it became still [Imam Hakim in Mustadrak ala Sahihayn, Volume No. 2, Page No. 609, Hadith No. 4227] > عن ابن عباس رضي الله عنهما، قال: «أوحى الله إلى عيسى عليه السلام يا عيسى آمن بمحمد وأمر من أدركه من أمتك أن يؤمنوا به فلولا محمد ما خلقت آدم ولولا محمد ما خلقت الجنة ولا النار ولقد خلقت العرش على الماء فاضطرب فكتبت عليه لا إله إلا الله محمد رسول الله فسكن» (Source )