Every book that Paul wrote had "Paul" as the first word.
Rom 1:1 (AKJV/PCE)
(1:1) Paul, a servant of Jesus Christ, called [to be] an apostle, separated unto the gospel of God,
1Cor 1:1 (AKJV/PCE)
(1:1) Paul, called [to be] an apostle of Jesus Christ through the will of God, and Sosthenes [our] brother,
2Cor 1:1 (AKJV/PCE)
(1:1) Paul, an apostle of Jesus Christ by the will of God, and Timothy [our] brother, unto the church of God which is at Corinth, with all the saints which are in all Achaia:
Gal 1:1 (AKJV/PCE)
(1:1) Paul, an apostle, (not of men, neither by man, but by Jesus Christ, and God the Father, who raised him from the dead
Eph 1:1 (AKJV/PCE)
(1:1) Paul, an apostle of Jesus Christ by the will of God, to the saints which are at Ephesus, and to the faithful in Christ Jesus:
Phil 1:1 (AKJV/PCE)
(1:1) Paul and Timotheus, the servants of Jesus Christ, to all the saints in Christ Jesus which are at Philippi, with the bishops and deacons:
Col 1:1 (AKJV/PCE)
(1:1) Paul, an apostle of Jesus Christ by the will of God, and Timotheus [our] brother,
1Thess 1:1 (AKJV/PCE)
(1:1) Paul, and Silvanus, and Timotheus, unto the church of the Thessalonians [which is] in God the Father and [in] the Lord Jesus Christ: Grace [be] unto you, and peace, from God our Father, and the Lord Jesus Christ.
2Thess 1:1 (AKJV/PCE)
(1:1) Paul, and Silvanus, and Timotheus, unto the church of the Thessalonians in God our Father and the Lord Jesus Christ:
1Tim 1:1 (AKJV/PCE)
(1:1) Paul, an apostle of Jesus Christ by the commandment of God our Saviour, and Lord Jesus Christ, [which][ is] our hope;
2Tim 1:1 (AKJV/PCE)
(1:1) Paul, an apostle of Jesus Christ by the will of God, according to the promise of life which is in Christ Jesus,
Titus 1:1 (AKJV/PCE)
(1:1) Paul, a servant of God, and an apostle of Jesus Christ, according to the faith of God's elect, and the acknowledging of the truth which is after godliness;
Phlm 1:1 (AKJV/PCE)
(1:1) Paul, a prisoner of Jesus Christ, and Timothy [our] brother, unto Philemon our dearly beloved, and fellowlabourer,
Heb 1:1 (AKJV/PCE)
(1:1) God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets,
Thirteen times Paul puts HIS name as the first word of his epistle and yet it's NOT there in the book to the HEBREWS.
2Thess 3:17 (AKJV/PCE)
(3:17) The salutation of Paul with mine own hand, which is the token in every epistle: so I write.
No, someone else wrote to the Hebrews.
P.S. Why would the apostle of the gentiles write a book to the HEBREWS?