No. This is a common misconception among Christians. If you read the Torah (the first five books of Moses), you will note that there are a number of passages where God says to Moses to speak to the children of Israel, and tell them what he has told him to say to them, but what he has told him to say was never written down. God explicitly told Moses to write some things down, and not to write other things down. What he was told not to write down was to be orally transmitted. Originally, none of it was written down, but it could still be distinguished between the Torah and the Oral law. All of it was given to Moses by God. However, as time progressed, there were additions to the Oral law, and eventually it was inundated with so much additional material, that it was no longer effective at transmitting what God had originally intended.
The Torah is the written law of God. The Talmud is commentary, but it was also eventually committed to writing when it was becoming apparent that the next genocide could leave no one to transmit the Oral Tradition to the next generation. The rabbis were being systematically exterminated, and decided that they would have to write the oral law down before they were all gone.
Christians have an overwhelming amount of commentary available to them on the bible, but none of it can compare to what you will find in the Talmud, especially the Babylonian Talmud. You can download a copy of it from online. You will find many cases where what some rabbi or Sage from Judaism said long before the gospels were written says the exact same thing. Most of what Jesus says in the gospel accounts can be found in the Talmud. Barring a few notable exceptions, this is also the case with Paul.