Is this narration anywhere in Shi'i sources, and would it be accepted by Shi'i 'ulama?

'The eleventh Imam, Imam al-Hasan ibn Ali al-Askari (as) reported that his Fathers quoted a well-known companion of the Prophet, Jabir ibn Abdullah, as saying: ‘The Messenger of God (s) said: “When God created Adam and Eve, they strutted through paradise and said: `Who are better than we?' At that moment they noticed an image of a girl like they had never seen before; from this girl came an illuminating light so bright that it almost blinded the eyes. They said: 'O Lord, what is this?' He answered: 'This is the image of Fatima, the mistress of your women descendants.' Adam asked: 'What is this crown on her head?' Allah said: 'Her husband Ali.’ Adam then asked: 'What are her two earrings?' God replied: 'Her (two) sons, they were ordained in My ever-existent knowledge two thousand years before I created you'”’ Source - Ibn Hajar al-'Asqalani, Lisan al-Mizan v. 3, p. 346.

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Sayyed Muhammad Husaini Ragheb, Sayyed Muhammad Husaini Ragheb has a BA in Law from Guilan University, Iran and has also undertaken Hawzah studies in Qom. He is a Cultural Affairs director of Ethics Group of Al-Mustafa Open... Answered 3 years ago

Salaam
As far as I searched we don't have it in Shi'i authentic sources.
It is also narrated in Nuzhatul Majalis wa Muntakhabu-nafa'es for Abdurrahman Safouri Shafe'ee who is also a Sunni Scholar.
see:
https://books.google.com/books?id=HLBcAAAAcAAJ&pg=PP498&lpg=PP498&dq=%D8%A7%D9%86%D8%A7+%D8%A7%D9%84%D9%85%D8%AD%D8%B3%D9%86+%D9%88+%D9%87%D8%B0%D8%A7+%D8%A7%D9%84%D8%AD%D8%B3%D9%86&source=bl&ots=85-60FLIhh&sig=ACfU3U0mSomdXzEF7xenDnoYrVThNPsURA&hl=en&sa=X&ved=2ahUKEwiA4KSjsPrhAhUlnuAKHYjuBag4ChDoATAJegQIBhAB#v=onepage&q=%D8%A7%D9%86%D8%A7%20%D8%A7%D9%84%D9%85%D8%AD%D8%B3%D9%86%20%D9%88%20%D9%87%D8%B0%D8%A7%20%D8%A7%D9%84%D8%AD%D8%B3%D9%86&f=false