That depends on what you mean by
abolish.
Moses' Law separated Jews from the Gentiles.
Jesus predicted the destruction of the temple in Matthew 24:
thrown down
καταλυθήσεται (katalythēsetai)
Verb - Future Indicative Passive - 3rd Person Singular
Strong's 2647: From kata and luo; to loosen down, i.e. to demolish.
Strong's Greek: 2647. καταλύω (kataluó) — 17 Occurrences
Jesus predicted the temple would be G2647-demolished or broken down or dismantled.
This same Greek word was used earlier. Jesus declared in Matthew 5:
Jesus did not H2647-dismantle the Law, but the physical Jerusalem temple would be H2647-dismantled. The demolition of the temple was a sign that Jesus fulfilled the Law. The temple was no longer necessary to reach the LORD.
Paul added in Ephesians 2:
This is a different κατα-word.
by abolishing
καταργήσας (katargēsas)
Verb - Aorist Participle Active - Nominative Masculine Singular
Strong's 2673: From kata and argeo; to be entirely idle
Strong's Greek: 2673. καταργέω (katargeó) — 27 Occurrences
HELPS Word-studies:
By his sacrifice on the cross in the flesh, Jesus G2673-abolished or idled down the Law and did not G2647-demolish it.
In Christ, there is no more distinction between Jews and Gentiles. There is only one new humanity.
In Christ, there is no partition between Jews and Gentiles and there is no partition between men and God. Now, everyone can approach God through the sacrifice of Christ.
Instead of
abolished, Berean Literal Bible uses:
Did Jesus abolish Moses' law?
Because the meanings of καταλύω and vκαταργέω overlap, I am not even against people who say that Jesus abolished the Law so long as they understand that Jesus did not dismantle the Law into fallen pieces as the Romans did to the Temple in 70 AD. In any case, Jesus did abolish the partition between Jews and Gentiles, and between men and God, by fulfilling the Law and the Prophets.
Paul explained in Acts 13:
and in Romans 10:
Hebrews 8:
The temple became obsolete in 70 AD. The Mosiac Law is not destroyed but is annulled.
See also