The answer requires multi-level considerations. The meaning of "inerrant" is free from error.
First, is all scripture speaking truth? That answer is No, as we must determine who the speaker of record is. When the adversary speaks, he is speaking a lie (John 8:44). He lied to Eve in Gen. 3:4 by adding the word "not" to God's commandment. Abraham shaded the truth when he told others that Sara was his sister, without also disclosing that she was his wife (Gen. 12:10-12).
So, if the speaker is other than our Creator, then we have to know that they may not be telling the truth. Men and women will lie. The adversary lies continually, and we must have that in mind whenever we read the words spoken by the adversary.
If God is speaking it is absolute truth.
"Sanctify them through thy truth: thy word is truth." (John 17:17, KJV)
"For the word of the Lord is right; and all his works are done in truth." (Psa. 33:4, KJV)
Second, is the record of the events inerrant? Yes, if it is from the original Hebrew and Greek texts. The Holy Spirit accurately recorded the events even if it portrayed the individual person in a bad light. The Holy Spirit did not and does not pull punches.
Third, we must recognize that the translations into the other languages may have added some bias from the beliefs of the translators. That is why we must compare the different translations against each other, and back to the original texts to weed out any bias and preconceived ideas. That is why there are commentaries, dictionaries, lexicons, etc. to help students of the Bible research and understand the original texts.
For instance, Heb. 9:27 in the KJV is translated as -
"And as it is appointed unto men once to die, but after this the judgment:"
But, it is better translated in Young's Literal as -
"and as it is laid up to men once to die, and after this -- judgment,"
The definite article "the" in the KJV translation is not in the original Greek, and it lends itself to a belief in one day of judgment all at one time, when actually the original text shows that every person is judged after their bodily death. This has been the process since the beginning as is depicted in the picture of Hades that the Holy Spirit gave us in Luke 16:22-23.
Lazarus was in Abraham's bosom after his death, while the rich man was consigned to the place of torment in the grave. How was that accomplished if they had not been subject to their judgment at their death?
So, essentially, Yes, YHWH's word is truth, and the record of the events given in the scriptures by the Holy Spirit is inerrant. But, we must discriminate between speakers within the word, and between translations from the original texts.