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YHvH describes His New Covenant in Jeremiah 31:31 - 40. Read it and tell me are we there yet ?

Thankfully, we have more than just the OT to explain to God’s people what He meant by the term. So, the answer to your question is, “yes, we are.”

Likewise He also took the cup after supper, saying, "This cup is the new covenant in My blood (kainos diatheke), which is shed for you. (Luke 22:20)
4 And we have such trust through Christ toward God. 5 Not that we are sufficient of ourselves to think of anything as being from ourselves, but our sufficiency is from God, 6 who also made us sufficient as ministers of the new covenant, not of the letter but of the Spirit; for the letter kills, but the Spirit gives life. (2 Cor. 3)
And for this reason He is the Mediator of the new covenant, by means of death, for the redemption of the transgressions under the first covenant, that those who are called may receive the promise of the eternal inheritance. (Heb. 9:15)
22 But you have come to Mount Zion and to the city of the living God, the heavenly Jerusalem, to an innumerable company of angels, 23 to the general assembly and church of the firstborn who are registered in heaven, to God the Judge of all, to the spirits of just men made perfect, 24 to Jesus the Mediator of the new covenant, and to the blood of sprinkling that speaks better things than that of Abel. (Heb. 12)

The new covenant, as given to us by Jesus and His apostles, was instituted when His blood was shed for the forgiveness of the sins of His people. The word “new” only makes sense in contrast with something else, something, well, old.

The old covenant involved the blood of animals shed by a human priesthood before a physical altar in a man-made temple, along with the other trapping, the “shadows of good things to come” (Col. 2:16,17) .

The new covenant was established by the blood of Christ, the great High Priest after the order of Melchizedek, at a “temple made without hands” (John 2:19).

We can rejoice that the old carnal ways, temporary pointers to messiah, have been put away forever. The new covenant is a universal truth extending to all nations, the world. “For God so loved the world, that He gave His only begotten Son.”