Of course not. When we sin we break the Law of God.
Breaking the Law is going to happen as long as we have this mortal and sinful body that loves to sin.
But keeping, obeying and following God's Law is when righteous believers, adhere to and obey the will of God outlined in ALL of His Word (Including the Law).
Will we fail and miss the mark? Absolutely. But will we continue in sin, that grace may abound? God forbid!
Keeping and Obedience to the Law of God does NOT equal "PERFECTION".
It means living a life according to God's Word. It means, when you mess up and miss the mark, you set it right and do better next time.
This is why it says "line upon line" "precept upon precept". It's not about "perfectly" following the letter of the law, trying to get everything right.
But rather an inward obedience, that automatically manifests into outward obedience to the Perfect Will of God.
If I try to move a finger in obedience with my own strength...it would be in vain.
But with the Help of His Spirit, I am able to walk according to His Will and His Ways.
Because at the end of the day, I am a child of God, encouraged and instructed to walk according to His Word.