The author of the fourth gospel was writing for a specific purpose and to a specific audience, yes I'm sure. Every book of the Bible was written with a specific purpose and with a specific target audience in mind. Sometimes this is rather easy to know who, for example St. Paul's Epistle to the Romans was written to the Church in Rome, his Epistle to the Galatians was written to the Church in Galatia, the Apocalypse of St. John was written to the seven churches in the Roman province of Asia--Ephesus, Smyrna, etc. So, yes, there was an original audience for the Gospel of John; it's our job as students and readers of Scripture to understand what the author intended and how his original audience would have understood it.
If you're talking about Jesus Christ, then yes. As the author of the Epistle to the Hebrews says, "Jesus Christ is the same, yesterday, and forever".
If you mean the Bible, then that's complicated as the Bible as a collection of Sacred Scripture received by the Church catholic took centuries to come about. There has never been a time in the history of the Church where there has been perfect universal agreement on the Canon. To that end, no. But then the reason we call the Bible God's word isn't because God authored it, but because we receive as divinely inspired and to lead us and point us to Jesus Christ who is Himself the very Eternal Word of God.
I'm saying that 21st century English speaking westerners shouldn't assume the Bible exists in their cultural language, and that reading Scripture requires the effort and work to understand what the original authors meant and what the original audience would have understood; we are, fundamentally, a third party looking in on a conversation between two other people--and that requires that we put in the effort to understand the text and the context in which and for which it was written.
-CryptoLutheran