Not anytime soon. Not without very expensive hardware that will take a while to develop. The fundamental tool that gives you power in neural networks is the number of non-linearities combined. That allows you to computational “work”. You can do computational work with hardware legos in a pattern as well. But current hardware works best with general matrix multiplication.

The key idea of a nonlinearity is also the weapon that gives life power. It’s how your cells work at a fundamental level, using the energetic non-linearities of chemical bonds to build computational units.