No. https://en.wikipedia.org/wiki/Dating_the_Bible

Though I just noticed that you said “version”. As I understand there ARE some changes that could have been that late. Like the insertion of the story containing “let he who is without sin cast the first stone” (the woman taken in adultery), and the Johannine comma (a small comment expounding on the trinity).

Most modern scholars consider this epistle to have been written after Paul’s death, although a small and declining number of scholars still argue for Pauline authorship.

Since it claims to be written by Paul it ought to be called a forgery.