LLMs alone won't. Experts in the field seem to have different opinions on if they will help get us there. What is concerning to me is that the issues and dangers of AGI also exist with advanced LLM models, and that research is being shelved because it gets in the way of profit. Maybe we'll never be able to get to AGI, but we sure better hope if we do we get it right the first time. How's that been going with the more primitive LLMs?
Do we even know what the "right" AGI would be? We're treading in dangerous waters.