The honest answer: no, and here's why
Spiders are predators. Every part of their biology is built around catching and eating other insects, not consuming or breaking down building materials. They have no incisors that grow continuously like a rodent's, no digestive enzymes for cellulose like a termite's, and no excavating mandibles like a carpenter ant's. There is simply no mechanism by which a spider could damage a wall, a wire, a joist, or a piece of fabric even if it wanted to — and it has no reason to want to in the first place. This is one of the clearest 'none' verdicts in pest control, and it's worth saying at full confidence rather than hedging it into a false middle ground.

