Of course, but you don't have the toy CPU under your desk or in your laptop running at several GHz nor are you likely to find it in a target that really needs a cute hack to obscure your exploit.
> The Intel architecture is already Turing complete when you just use MOV instructions
No physically existing architecture is Turing-complete, since every CPU can (by physics) only access a finite amount of memory, which means that its state space is finite, in opposite to the infinite state space of a Turing machine.