No, the Law is the law of Moses, the 600+ laws found in Leviticus and Deuteronomy. The passage is setting up a comparison. It’s saying that following God isn’t done through benign rules like not eating pork, but rather through believing in Jesus Christ now that he has come.
Besides, you are proposing that the Scriptures contradict themselves. James clearly states that faith without works is dead. If we look at the Scriptures as a whole your argument doesn’t hold.