Yes. But sin is defined in and by God's Law, which Jesus taught. It is not simply a matter of using the word perfection or saying you cannot measure up to Jesus' perfect standard for living, His law, God's law in the New Covenant, the Law of Moses, or God's Word in its entirety. The law of Christ is not a substitute for the Law of Moses, God's Law, or even if you were to say New Covenant law (yet no commandment has been abolished and I do not see any commandment added). Such that, does Jesus have a law different from the Law of Moses? The law of Christ agrees with the Law of Moses that Jesus taught, in that we should love our neighbor each one of us as our own self. God's law written on minds and hearts in the New Covenant does not imply a different law from the Law of Moses. Still according to Hebrews with a change of the priesthood there has been a change of the law. Not that the Law has been changed, certainly (correct). By what standard is the sinner judged? God's Law. Do you know of a higher standard than the one you have described?
Shalom.
Jacob
If you loved your neighbor as yourself you would sell all that you have and give it to the poor.
I think that your righteousness is going to fall short of the glory of God, Romans 3:23.