According to noted Reformed pastor and theologian R.C. Sproul the answer is yes: inerrancy is inseparable from Christology:
“At the end of the day, inerrancy is inseparable from Christology. If Jesus didn’t teach this view of Scripture, the argument would be over. The issue is not the sacrosanctity of a book, a ‘paper pope,’ or bibliolatry. The issue at stake is the integrity of the person and work of Jesus. He can save us only if He is sinless, and He is sinless only if all of His teaching—including what He teaches about Scripture—is true. —source, emphasis added
I don’t know about you, but I’ve found a few things wrong with what Mr. R.C. Sproul is saying here. First, Jesus taught inerrancy. Where can we really find this in Scripture? Second, to reject inerrancy (as defined by Sproul) is to put “at stake the integrity of the person and work of Jesus.” So in an effort to convince us that this is indeed the case, Mr. Sproul argues, “[Jesus] can save us only if He is sinless, and He is sinless only if all of His teaching–including what He teaches about Scripture–is true.”
Again, where does Jesus teach inerrancy in Scripture?
What else can I say, except that this is another desperate move on Mr. R.C. Sproul’s part–confusing the person and work of Jesus with biblical inerrancy.