No, the data will influence the model.
Some of the data may be found in the model itself (i.e. the AI generated images outputting mangled author signatures from the original works that were used during training) but not in the traditional form of a database. You can’t directly retrieve that data back in its original form even if some models can be coerced to do something similar.
It’s basically a statistical model built from training data.
The training of these huge models also cost a fortune. Allegedly in the millions of $ in a data and processing-intensive process.