Sorry, I missed this.... my answer is yes and I warn you, it will likely upset somebody.
Ezra canonized most of the OT... he canonized the Torah (law, first 5 books) and the Prophets although he rightly did not include his own writings of the writings of his friend, Nehemiah. In 90 AD, 20 years after the destruction of the Temple and probably "about" 25 years after Paul was martyred... the rest of the OT was canonized. So... I think Paul was referring to what was the "bible" in his day. He was referring to the Torah... the collection of dos and don't... what does God say is good and acceptable and what does He say we should avoid. The Acts 15 letter somewhat backs this up, believe it or not. We find this letter, sent to gentile believers, and it contains 4 things they are expected to do. However, by just looking at the 4 things what is not listed should jump out. Like, "Loving God and Him only." Or... "Not killing." Clearly they were not to kill or steal and they were to love God only BUT... those things were not included, why? The answer is, that letter was not intended to be a finish line, only a starting point. Give these ex-pagans a place to begin, a place to separate from their old ways and they will, like everyone else, learn as they go. And what comes after the letter to the gentiles? Acts 15:21 "For Moses has had throughout many generations those who preach him in every city, being read in the synagogues every Sabbath." The letter said, "abstain from things polluted by idols, from sexual immorality, from things strangled, and from blood" and then it follows with, "the law is read on Sabbath." In other words, start here and then go learn. That really does line up to 2 Tim 3:16 IMHO