Q. At the Second Coming of Christ, will all the Jews living at that time profess faith in Christ or will some recognize Him as Lord while still living in rebellion against Him?
A. Romans 11:25 says that after the full number of gentiles has come in and we’ve been taken in the rapture all Israel will be saved. According to Zechariah 12:10 this will take place toward the end of the Great Tribulation.
I don’t believe this means every single Jew will accept the Lord as his savior. I believe the intent of Paul’s statement was to mean that representatives of all 12 tribes will accept the Lord and be saved. So if you were referring to individual Jews, I think the answer is no. If you were referring to the all the 12 tribes of Israel, then the answer is yes. We know this because in Ezekiel 48, each of the 12 tribes receives an inheritance of land in the Millennial Kingdom.