No, there is not 1000 year kingdom. The kingdom is eternal. If you can see the spiritual kingdom, you won't look for a physical kingdom of the future.
Rev 20
4 I saw thrones on which were seated those who had been given authority to judge. And I saw the souls of those who had been beheaded because of their testimony about Jesus and because of the word of God. They[a] had not worshiped the beast or its image and had not received its mark on their foreheads or their hands.
They came to life and reigned with Christ a thousand years.
How do you interprate the last sentence of rev20:4
Why this. Verse they come to life and reigned with Christ for 1000 years
Who are they? Born again that physically die.
You say only eternal kingdom, why they not reigned eternal If the kingdom eternal