Yes, but at the same time no imho.

Authors of later books absolutely had access to the works of earlier authors. It wasn’t “the Bible” as we know it today, but there is a direct lineage where new material has been added and existing material has been edited, to result in the book we have now. That’s why the character of Jesus was able to fulfill prophecies.

So I’d tend to define “the bible” as a collection of literary works and interpretations (I don’t think you can separate the two without losing significant meaning) that evolves over time. Evolutionary pressures can include how well a particular “species” serves the rulers at that time, and how well it fits with the general zeitgeist (eg apocalyptic or euphoric).

So, like Trump, they didn’t have “the bible” but they had “a bible.”