Is it possible to be born with silver hair and eyes?

Yes! It's not just in books or anime. It is possible to have silver hair and silver eyes. Though you would call the eyes gray.

It is actually sort of rare and is rare to have natural silver hair since birth too alone. It's not always albinism, cause that's what you might think. It's actually just a lack of a certain pigment.

I hope that answers your question.