Sorry, no LLM is ever going to spontaneously gain the abilities self-replicate. This is completely beyond the scope of generative AI.
This whole hype around AI and LLMs is ridiculous, not to mention completely unjustified. The appearance of a vast leap forward in this field is an illusion. They're just linking more and more processor cores together, until a glorified chatbot can be made to appear intelligent. But this is struggling actual research and innovation in the field, instead turning the market into a costly, and destructive, arms race.
The current algorithms will never "be good enough to copy themselves". No matter what a conman like Altman says.