No. There is not one letter addressed unto "pastor Doe of the church at Anywhere."
In Acts 20:17-38 we read that Paul addressed the ELDERS of the church at Ephesus. When Paul writes to a congregation, he addresses all the members. He never addresses a letter to one man as if that man was above all the other members. And that is not even done when he writes to Timothy and Titus. He wants them to establish leaders/elders in the churches. Elders ... not an elder but elders.
As you know, several of Paul's letters open up with the words "Paul, an apostle of Jesus Christ." So the authority behind the letter is not Paul. It is the Lord Jesus Christ. As many letters that Paul wrote, as many topics he addressed, as many people he influenced, he not once claimed to be the head of the church. And neither did Peter.
Here's how Paul's letter to the Corinthians is addressed: "...to the church of God which is at Corinth, to those who have been sanctified in Christ Jesus, saints by calling, with all who in every place call upon the name of our Lord Jesus Christ, their Lord and ours." 1 Corinthians 1:2.
Read also Philippians 1:1.
Why are there no NT letters addressed unto the pastor of a church? Because there was no singular man who was over, in a ruling capacity, a church.
Jesus is the head of the body, the church.