Yes, it does.
http://m.petmd.com/blogs/thedailyvet/dr-coates/2014/june/risks-second-hand-smoke-dogs-and-cats-31821

Moreover, there is such a thing as “third-hand smoke” when it comes to pets. “You know the smell that lingers in smoking areas, and on clothes and hair after a party or a night out? This is “third-hand smoke”, a cocktail of toxic residue including arsenic, cyanide and lead that gradually coats every surface. Second-hand smoke eventually dissipates from a room, but the third-hand threat remains.

Not only does it linger, it grows with each invisible coat. And on every surface it touches, it combines with the chemicals in the carpet, the chemicals in the upholstery, the chemicals in the laminate flooring, in the silk flowers in the vase, every iPad and cell phone, and on the surface of every pet bed and toy. It even builds up on our pets.

We can wash our hair and launder the clothes, even steam the carpet, but how often do we thoroughly bathe our pets? The residue builds up on them as well. When they groom, lick their paws, chew their toys and nuzzle their noses down into those plush beds we provided, they are in direct contact with the cocktail of every environmental chemical, cleanser and airborne toxin.”
http://www.dogcancerblog.com/blog/smoking-second-hand-smoke-third-hand-smoke-and-dog-cancer/