Does Magento support Oauth for customers?

I went through the documentation at

But it’s not clear to me whether I can use it for customer authentication.
I want customers to visit a site which will NOT be a magento site, click a login button, get redirected to an Oauth screen at (which will be a magento site). Then I would like to fetch and display on some details like the list of orders placed by the user and the items currently in the user’s cart.

If this is not supported out of the box, is there any extensions that can help me achieve this?

submitted by /u/kunjava
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