Yes? I think that depends on your specific definition and requirements of a turing machine, but I think it’s fair to compare the almagomation of cells that is me to the “AI” LLM programs of today.
While I do think that the complexity of input, output, and “memory” of LLM AI’s is limited in current iterations (and thus makes it feel like a far comparison to “human” intelligence), I do think the underlying process is fundamentally comparable.
The things that make me “intelligent” are just a robust set of memories, lessons, and habits that allow me to assimilate new information and experiences in a way that makes sense to (most of) the people around me. (This is abstracting away that this process is largely governed by chemical reactions, but considering consciousness appears to be just a particularly complicated chemistry problem reinforces the point I’m trying to make, I think).