Yes, Jesus fulfilled the Law.
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http://ourrabbijesus.com/articles/what-fulfill-the-law-meant-in-its-jewish-context/
To Fulfill the Torah
The translation of “to fulfill” is
lekayem in Hebrew (le-KAI-yem), which means to uphold or establish, as well as to fulfill, complete or accomplish. David Bivin has pointed out that the phrase “fulfill the Law” is often used as an idiom to mean
to properly interpret the Torah so that people can obey it as God really intends.2
The word “abolish” was likely either
levatel, to nullify, or
la’akor, to uproot, which meant
to undermine the Torah by misinterpreting it. For example, the law against adultery could be interpreted as only about cheating on one’s spouse, but not about pornography. When Jesus declared that lust also was a violation of the commandment, he was clarifying the true intent of that law, so in rabbinic parlance he was “fulfilling the Law.”
Imagine a pastor preaching that cheating on your taxes is fine, as long as you give the money to the church. He would be “abolishing the Law” – causing people to not live as God wants them to live.