No. This was debated at length in the early days of Christianity and the apostles all agreed that the Old Testament law of Moses does not apply to Gentile Christians. In fact, they held a conference about it in Jerusalem in AD50 at which they decided that Gentile Christians would only have to obey four aspects of the Jewish law. They were to abstain from (Acts 15:20)
- food polluted by idols
- sexual immorality
- the meat of strangled animals
However, later Paul said that we could eat food polluted by idols provided it didn’t encourage anyone to engage in idolatry (1 Corinthians 10:27-33). Notice that circumcision and Sabbath keeping did not make the list although there were plenty of people who wanted them on it (Acts 15:1-2 and Colossians 2:16)
Of course, some parts of the law of Moses were repeated as commands of Jesus or his apostles. In fact, nine of the ten commandments are repeated in the New Testament. The only one not repeated concerns keeping the Sabbath.
However, the law is certainly not irrelevant to us. It provides an excellent guide to the way God views sin and injustice, and there are numerous allegories of Jesus in the law. The sacrifice of Passover, for example, is an allegory of the sacrifice of Jesus (1 Corinthians 5:7) — see chapter 9 of my book The Times for some of the chronological parallels.
Paul says that the law was a schoolmaster “to lead us to Christ” (Gal 3:24). We can learn a lot by reading it.