No. The entire canon of the Bible (OT & NT) was ratified by four separate Catholic councils and their respective papal concurences between 382 and 419. Trent dogmatically declared the canon in the 16th Century because Protestantism had already moved to alter the OT canon and was still toying with the idea of altering the NT canon as well. It decalred the canon dogmatically to act as a bulwark against the spirit of the age in which Trent existed.
If you look at the history of ecumenical councils, you will find that such is usually the case - dogmatic assertions about such-and-such are not made until there is a controversy anout such-and-such, and the correct teaching must be publicly promulgated. Case in point: the Trinity was defined at Nicaea in 325 NOT because it was all of a sudden dreamed-up then, but because there was enough controversy denying what was *already* taught in the Catholic Church that formal definition of the Trinity was needed to set everyone straight.
Of course many of those who have a knee-jerk reaction to deny The Church will say that Nicaea was wrong -- it was with, Shock, the Emperor Constantine