Yes
9 So Moses wrote this law and gave it to the priests, the sons of Levi who carried the ark of the covenant of the LORD, and to all the elders of Israel.
Deuteronomy 31:9 NASBu
24 It came about, when Moses finished writing the words of this law in a book until they were complete, …
Deuteronomy 31:24 NASBu
16 They stood at their stations after their custom, according to the law of Moses the man of God; …
2 Chronicles 30:16 NASBu
1 … and they asked Ezra the scribe to bring the book of the law of Moses which the LORD had given to Israel.
Nehemiah 8:1 NASBu
No
3 (Now the man Moses was very humble, more than any man who was on the face of the earth.)
Numbers 12:3 NASBu
5 So Moses the servant of the LORD died there in the land of Moab, according to the word of the LORD.
Deuteronomy 34:5 NASBu
SAB Contradiction 165 (by book)
A shameful question
An old and generally known question is: “Did Moses write the Torah (Pentateuch)?” And to the amusement of the critics many believing Christians have often confessed what they had learned “Yes, he did.” It is so easy to disprove this: “Well, are you saying that Moses even wrote about his own funeral before he died; the last chapter of Deuteronomy?”
Jews and Christians in trouble?
Only two times we read that Moses “wrote the law” (Deuteronomy 31:9, 24). And Jews and Christians are in trouble? Of course not. Many times we read that Solomon built the temple, the house of the Lord. Not one single Christian or Jew will defend the thesis that Solomon finished the job in seven years all by himself. And what’s more, Solomon probably did not even touch one stone as he had an army of builders to do the job. And yet we have no problem with that; Solomon ordered and supervised the work. That is what is meant by: “Solomon built the temple.” Even the critics never marked this as a Bible Contradiction. But when we read that “Moses wrote the Law,” we seem to have a serious accusation against the perfection of the Bible? Of course not.
Prophetical writers
Moses had many prophetical writers at his disposal as he had to organize a nation. His prophetical writers wrote the Law. We constantly read a He-story and not an I-story. If Moses had been the author we would have gotten an I-story. “So I went down from the mountain to the people …” instead of “So Moses went down from the mountain to the people …” (Exodus 19:14)
The prophetical writers of Moses even had their own prophetical input “Now the man Moses was very humble, more than any man who was on the face of the earth.” (Numbers 12:3) It must be excluded that this was written by Moses, but certainly his writers, through the Spirit, insisted on adding this.
Publisher of the Law
Also in the New Testament we never read that Moses wrote the Law, or that he was the writer. But he gave the law. “For the Law was given through Moses; grace and truth were realized through Jesus Christ.” (John 1:19) Moses was the publisher of the Law. Of course he himself had a great deal of involvement in the result. Many notes he made found their proper place in the book, notes of the commandments that God ordered him, notes of his observations, of his discussions etc. In the New Testament we face the same broad meaning of “to write”. Jesus said: “Because of your hardness of heart he [Moses] wrote you this commandment … “ (Mark 10:5). Again ‘prescribed’ is meant. When Pilate said: “What I have written I have written, ” he didn’t say that he actually wrote the inscription on the cross, but that he wouldn’t withdraw the writ he had ordered.
Résumé
The example of the building of the temple by Solomon shows that we have to do with a broad meaning of “Solomon built the temple”. In the same way we have to do with a broad meaning of “Moses wrote the Law”. Moses ordered and supervised the work that was done by his prophetical writers. When Joshua had taken over Moses’ duties he supervised the making of the last chapter (34) of Deuteronomy of Moses’ death and funeral, the postscript of Moses’ Law.