Perfectly no, but he does keep it. Is knowing that we can't keep the law perfectly a good reason to throw it all out the window? No, But we try our best, and where we slip Jesus (Yeshua) will catch us.
We are to walk as He walked, and He kept Torah. He was Torah. What we're freed from was the nonsense traditions of our fathers, and the lies we've inherited, not the freedom that Torah brings us. Torah is a light to our feet, showing us what is wrong and what is right. David kept Torah, but yet had a man killed out of adultery, should he then have cast aside all of Torah? Well no, he made a mistake, and he repented, and moved forward.
Then how do you reconcile this?
Acts
The law is an unbearable yoke. (Acts 15:10)
Romans
The law reveals sin but cannot fix it. (Romans 3:20)
If the law worked then faith would be irrelevant. (Romans 4:14)
The law brings wrath upon those who follow it. (Romans 4:15)
The purpose of the law was to increase sin. (Romans 5:20)
Christians are not under the law. (Romans 6:14)
Christians have been delivered from the law. (Romans 7:1-6)
The law is good, perfect and holy but cannot help you be good, perfect or holy. (Romans 7:7-12)
The law which promises life only brings death through sin. (Romans 7:10)
The law makes you sinful beyond measure. (Romans 7:13)
The law is weak. (Romans 8:2-3)
1 Corinthians
The strength of sin is the law (1 Corinthians 15:56)
2 Corinthians
The law is a ministry of death. (2 Corinthians 3:7)
The law is a ministry of condemnation. (2 Corinthians 3:9)
The law has no glory at all in comparison with the New Covenant. (2 Corinthians 3:10)
The law is fading away. (2 Corinthians 3:11)
Anywhere the law is preached it produces a mind-hardening and a heart-hardening veil. (2 Corinthians 3:14-15)
Galatians
The law justifies nobody. (Galatians 2:16)
Christians are dead to the law. (Galatians 2:19)
The law frustrates grace. (Galatians 2:21)
To go back to the law after embracing faith is “stupid”. (Galatians 3:1)
The law curses all who practice it and fail to do it perfectly. (Galatians 3:10)
The law has nothing to do with faith. (Galatians 3:11-12)
The law was a curse that Christ redeemed us from. (Galatians 3:13)
The law functioned in God’s purpose as a temporary covenant from Moses till John the Baptist announced Christ. (Galatians 3:16 & 19, also see… Matthew 11:12-13, Luke 16:16)
If the law worked God would have used it to save us. (Galatians 3:21)
The law was our prison. (Galatians 3:23)
The law makes you a slave like Hagar. (Galatians 4:24)
Ephesians
Christ has abolished the law which was a wall of hostility (Ephesians 2:15)
Philippians
Paul considered everything the law gained him as “skybalon” which is Greek for “poop”. (Philippians 3:4-8)
1 Timothy
The law is only good if used in the right context. (1 Timothy 1:8) (see next verse for the context)
It was made for the unrighteous but not for the righteous. (1 Timothy 1:9-10)
Hebrews
The law is weak, useless and makes nothing perfect. (Hebrews 7:18-19)
God has found fault with it and created a better covenant, enacted on better promises. (Hebrews 8:7-8)
It is obsolete, growing old and ready to vanish. (Hebrews 8:13)
It is only a shadow of good things to come and will never make someone perfect. (Hebrews 10:1)