They can't in the same way they might bring fleas into the home. I suppose a bug could crawl onto the pups, while they're snoozing on the lawn, and drop off when they come indoors, but I cannot imagine that would happen often.
Silverfish do not live or feed ob animals the way fleas, ticks and mites do. So they're less likely to be found crawling on a pet. They're attracted to old books and photos. That sort of stuff is like an all you can eat buffet to them. If you're finding them in your home, I would start looking for answers there