No, these models don't contain exact copies of the texts or images they were trained on. Instead, they create new texts or images using the statistical patterns and relationships learned from the training data. The models build mathematical representations of these patterns, which allows them to generate novel content.
In rare cases, a generated text or image is nearly identical to a text or an image from the training data; this is an unintended consequence of the model's learning process, not a deliberate feature. Researchers are actively developing methods to prevent such verbatim copying and to ensure that the models generate original content based on their learned patterns.