It is possible. The fumes get into the vents and carpeting. If the walls aren’t painted with Killz, a blocking paint that prevents the nicotine from oozing through, it can surface.
Granted, it would likely take someone more sensitive to it than normal, but it is very possible.
I smoked for 24 years off and on. Quitting was really difficult for me. I was so glad when I moved from CA to AZ in 2000 so I could smoke freely again but one year after moving I started coughing like crazy from smoking and probably from living a mile high up in the mountains. For me the smoking lamp went out permanently. I had to switch to chew for a year before I could finally quit that too. It really wasn’t a choice for me. I loved smoking but smoking didn’t love me. Now I try to avoid it at all costs. Even walking by someone smoking is annoying. His right and I wouldn’t ever want to see that change; but the aroma is not pleasant to me any longer. For a long time it didn’t phase me at all but over time I noticed it was bothering me more and more.
No, that poster is an hysteric; what was posted is patently ridiculous and impossible to boot. Go read it again.