Jesus always was "The Word of God" and He was not made flesh, He took on flesh!! There is a difference, and it is an important one to understand.
The difference is that The Christ is a being - a person in the God head - as in Father, Son, and Spirit.
And a study of the Scriptures clearly show us He is not the Scriptures. It should be obvious that He is not the Scriptures, because the Scriptures are writings and He is a person. And it should also be even more obvious to believer's because His sheep hear His voice, and He will talk to you about the Scriptures, so you would know that He is not the Book but the Teacher!
However for those studying the Scriptures but not seeking His voice let me prove that He is not the Scriptures with a couple of verses.
Jn 5:39 You search the Scriptures because you think that in them you have eternal life; it is these that testify about Me; and you are unwilling to come to Me so that you may have life.
Gal 3:22 But the Scripture has shut up everyone under sin, so that the promise by faith in Jesus Christ might be given to those who believe.
In both those verse we see that there are the Scriptures and there is Jesus Christ, and they are not the same thing!! In fact, both of those Scriptures point out a particular problem that people were having then. The people seemed to think that studying the Scriptures, instead of seeking and knowing Jesus Christ, was going to give them the promise of eternal life. And if that was happening then, is it not happening today? Of course, I doubt the people then like thinking that it was their problem, but this particular bit of reproof was very important to them. Perhaps they would start seeking Jesus Christ instead of just searching the Scriptures thinking in them they had life.