I’m willing to believe that one could design a little circuit that multiplies a number stored in a floating-gate MOSFET by an analog input and another circuit that adds the result to an accumulator (in fact there seems to be some prior art from 1989!). But I don’t know who would fab this - I doubt this is something doable is TSMC’s standard process.
And maybe one can use NAND or NOR flash with a different sort of controller to do analog computation, and maybe one could convince a flash memory fab to build it for you.
But there is no mention on the site of how they expect to manufacture the thing.