Absolutely and beyond a doubt you can trust it. But, we also recognize that there is a faith step required in that trust.
The Bible is God’s inspired, inerrant, infallible word. God has preserved exactly what we need “that pertain to life and Godliness” (2 Peter 1:3-4) in the pages of Scripture. The picture that the Bible itself paints is that Scripture is “breathed out” by God, useful for “for teaching, for reproof, for correction, and for training in righteousness.” (2 Timothy 3:16). But to fully trust something, you’ve got to take a leap of faith. And trusting the Bible is no different. Read it for yourself. Wrestle with its claims. Live out the truths that it commands us to live out. Find out for yourself just how trustworthy it really is.
For those that want even more evidence of the accuracy of the Biblical text, research the Qumran or Dead Sea Scrolls and discover just how accurate are our modern Bibles.