Not according to Scripture, and what is said about the New Covenant and the New Birth: For this is the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people... In that he saith, A New Covenant, he hath made the first old. Now that which decayeth and waxeth old is ready to vanish away. (Heb 8:10,13)You're still under law then.
Paul said that the Old Covenant (the Law of Moses) was "ready to vanish away" since the temple was still standing at that time. When the temple was destroyed, the Old Covenant was abolished (2 Cor 3:13).
And under the New Covenant, regeneration includes the putting of the Ten Commandments into hearts and minds by the Holy Spirit: Then will I sprinkle clean water upon you, and ye shall be clean: from all your filthiness, and from all your idols, will I cleanse you. A new heart also will I give you, and a new spirit will I put within you: and I will take away the stony heart out of your flesh, and I will give you an heart of flesh. And I will put my Spirit within you, and cause you to walk in my statutes, and ye shall keep my judgments, and do them. (Ezek 36:25-27)
We know that the Law of Christ (the Law of Love) incorporates the Ten Commandments through what was written by Paul (Rom 13:8-14) Owe no man any thing, but to love one another: for he that loveth another hath fulfilled the Law. For this, [1] Thou shalt not commit adultery, [2] Thou shalt not kill, [3] Thou shalt not steal, [4] Thou shalt not bear false witness, [5] Thou shalt not covet; and [6] if there be any other commandment, it is briefly comprehended in this saying, namely, Thou shalt love thy neighbour as thyself. Love worketh no ill to his neighbour: therefore love is the fulfilling of the Law.
"If there be any other commandment" is quite comprehensive. Which means that Christians are not Antinomians and not lawless ones. But they are under THE LAW OF CHRIST. Christ had already said that the Ten Commandments were covered by the two greatest commandments, and then He distilled them into the Law of Love. That is under grace.