I'll play devil's advocate and ask you if you think the Book of Mormon answers this requirement. As "another testament of Jesus Christ" it claims to have been written by prophets here in the Americas during ancient times and even quotes the prophet Isaiah verbatim.
I'd say it doesn't. We have two main possibilities:
- the Book of Mormon is fiction, and was written in 19th Century America. In this case, it was the product of a culture that had significant contact with the Bible.
- the Book of Mormon is substantially accurate on its main historical claims, and was the product of the descendants of one of several groups of Israelites who travelled to the New World long before the accepted date of European discovery. In this case, it's still the product of a culture that's had significant contact with Jewish culture and religion, and would be familiar with Isaiah.
Even for mentions of Jesus in the Book of Mormon, the problem still exists... even if you assume that the Book of Mormon and the process that produced it are valid. According to the traditional story of how the English Book of Mormon came to be, Joseph Smith translated the Gold Plates in the 19th Century; this still allows for him to recognize people and things using his 19th Century knowledge, including familiarity with the Bible, e.g.:
"I see from how He is described in the story (and based on my own judgement, which has been shaped by the Bible) that this person, whose name is rendered 'XGYZWW' in 'Reformed Egyptian', is Jesus. Therefore, I will translate 'XGYZWW' as 'Jesus'."
Even if you accept the process of the Book of Mormon as 100% honest and accurate, it's still inexorably linked to a culture that has had significant contact with mainstream Christianity.