For some people weed seems to increase muscle tone and make it harder to relax, inducing fasciulations/spasms in some. This isn't everybody of course, and is probably not the average acute effect (I believe cannabis sees some use in treating muscle spasms in MS).
But for me personally, I would have more muscle tension and I wasn't as able to use the minimum amount of effort necessary to do something like type or use the mouse. So if you're rage clicking with the mouse while playing a game stoned, I could see how that could affect wrist pain, without needing an indirect CB1 agonism -> inflammation explanation.
It could also alter posture acutely and lead to more spine pain therein, there may be some loss of posture awareness while high.
There are of course many different types of compression neuropathy and causes of pain, see for example thoracic outlet syndrome hand pain which can be exacerbated with the act of smoking/inhalation (rib cage is implicated in thoracic outlet syndrome) and anxiety, and being stoned could alter posture (spine/shoulder and breathing mechanics) and worsen it as well. Combine that with some vasoconstriction and you have many mechanisms by which weed could cause an increase in pain in some people