What Did Paul Mean By Saying "The Law Works Wrath"?

yes he did. col 2.14 to 17

The Law finds out your sin and condemns you as a sinner.

That is its function and purpose.

Therefore by the deeds of the law there shall no flesh be justified in his sight: for by the law is the knowledge of sin.

But we know that the law is good, if a man use it lawfully;

Knowing this, that the law is not made for a righteous man, but for the lawless and disobedient, for the ungodly and for sinners, for unholy and profane, for murderers of fathers and murderers of mothers, for manslayers,

For whoremongers, for them that defile themselves with mankind, for menstealers, for liars, for perjured persons, and if there be any other thing that is contrary to sound doctrine;

According to the glorious gospel of the blessed God, which was committed to my trust.

Therefore no one can live by law because it kills and brings death, and Paul points that out.

For I was alive without the law once: but when the commandment came, sin revived, and I died.

And the commandment, which was ordained to life, I found to be unto death.

For when we were in the flesh, the motions of sins, which were by the law, did work in our members to bring forth fruit unto death.

Is the law then against the promises of God? God forbid: for if there had been a law given which could have given life, verily righteousness should have been by the law.

But the scripture hath concluded all under sin, that the promise by faith of Jesus Christ might be given to them that believe.

Christ Himself declared that He came to fulfill the Law.

Think not that I am come to destroy the law, or the prophets: I am not come to destroy, but to fulfil.

The Law's function is to convict us of sin and as sinners and to lead us to Christ.

Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith.

Since Christ fulfilled the Law then all joined to Him by faith share in all that is His - they too have thereby fulfilled the Law.

Therefore they are set free from the Law to serve by the Spirit in newness of life.

Wherefore, my brethren, ye also are become dead to the law by the body of Christ; that ye should be married to another, even to him who is raised from the dead, that we should bring forth fruit unto God.

For when we were in the flesh, the motions of sins, which were by the law, did work in our members to bring forth fruit unto death.

But now we are delivered from the law, that being dead wherein we were held; that we should serve in newness of spirit, and not in the oldness of the letter.

The Law has not been abolished except it is rendered dead to those who are in Christ so that they might walk by the Spirit, which is the only walk acceptable to God.

There is therefore now no condemnation to them which are in Christ Jesus, who walk not after the flesh, but after the Spirit.

For the law of the Spirit of life in Christ Jesus hath made me free from the law of sin and death.

For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh:

That the righteousness of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit.