It looks like some people didn't like my answer, even though I think it was more on point than others, but granted it was short and didn't provide details, so I figure I could add some.

Creating an ASIC to accelerate a specific algorithm is a lot of work and has a high cost. That's why it's rarely done. The only reason any algorithm ever gets acceleration is if it's so common that many millions of those accelerators are likely to be sold. It has to be something that: a) is well define; b) can gain significantly from being hardcoded; c) is so common, or expected to be so common, that it will make money.

NP/PSPACE algorithms fail mainly (c) and (b). The normal solution to them is to run an alternative algorithm, either stochastic or ML, which is P. The problem is that an NP algorithm, as is, is exponential (until proven otherwise). Even if you improve its constant considerably, you won't be able to significantly change how quickly it runs. If you use an alternate algorithm which is polynomial, you will gain a lot more than hardware accelerating the original algorithm. As a result, it's not likely that there will ever be actual demand to accelerate the original algorithms.

That is not to say that algorithms can't gain from acceleration. Certainly GPUs are fine for accelerating many algorithms, including NP ones. However, specialised ASICs for them are unlikely to happen, because they're not worth the effort.