He’s almost right, as far as the headline goes, which is not very far.
Matthew 5:17-19 - “Think not that I am come to destroy the law, or the prophets: I am not come to destroy, but to fulfill. For verily I say unto you, Till heaven and earth pass away, one jot or one tittle shall in no wise pass from the law, till all be fulfilled. Whosoever therefore shall break one of these least commandments, and shall teach men so, he shall be called the least in the kingdom of heaven: but whosoever shall do and teach them, the same shall be called great in the kingdom of heaven.”
Jesus did not establish rules, but he did emphatically confirm the existing rules. If God wants to change those rules, I expect Him to tell us clearly and not to just hope we somehow reinterpret scripture to mean the exact opposite of what it says.
Actually, He did establish new rules.
He gave us a new commandment in John 13:34.
He established a new commandment in 1 Cor 13:37, related to what should happen in a church service.
In Acts 17:30, He now commands all men, everywhere to repent.
In 1 John 3:23, the command is given: "And THIS is his command: to believe in the name of his Son, Jesus Christ, and to love one another as he commanded us.