Can it be emulated with our current tech / knowledge ? maybe, maybe not. In the end it all boils down to: is intelligence / consciousness 100% material[0]. If it's the case it would be theoretically possible to replicate it. In practice it's much more complex.
If these principles can't be explained by materialism I think we'll have even bigger questions to answer.
[0] https://en.wikipedia.org/wiki/Materialism
also see: https://computing.dcu.ie/~humphrys/philosophy.html
Turing machine is only one kind of computing device. It just happens to be really good at simulating many other kinds.
Turns out, most differences between computing devices don't really matter.
I remember reading that people who worked on "flying machines" said it wouldn't be possible to have heavier than air planes before decades or centuries (or even ever), little did they now that they already existed for a few months but the news didn't came to them yet.