Doubting the truths of the Bible is seen as normal these days. One can read this in books and articles. Doubt and not-believing (the next step) are considered fully human in a time in which people no longer believe that anyone can know the truth.
This article answers the title with an affirmative Yes. However, it is the explanation to this answer that is important. The author explains that the Gospel of John not only presents history, but a biographical history of Jesus.
This article is an exposition of John 1:19-34.
This paper is an exegetical consideration of John 1:45-51.