Yes and no, but it's a little more complex.
First of all, you should never breathe in the fumes when soldering (keyword: extraction with carbon filter) and definitely not solder in the bedroom or kitchen, as the fumes also settle.
Lead alone would not evaporate, but as it is very finely dissolved in the tin, together with the flux, lead is also found in the fumes. Technically speaking, this is a fine abrasion that is carried along by the steam and not a process like evaporation.
You can also find the same abrasion of lead and tin as a slightly grey and silvery deposit on circuit boards, work environments and on your hands. This abrasion is absorbed by the skin because it is really very fine and we humans tend to touch our faces, e.g. eyes/mucous membranes, nose, mouth. This means that even more lead abrasion gets into our bloodstream.
But it gets worse. Many DIYers eat something casually without washing their hands thoroughly and touch the food, and it gets really bad with wet fruits like bananas or apples. When you lick your fingers, you get a full load of lead. Smoking and pulling the cigarette out of the pack by the filter beforehand or rolling it yourself is also great.
In workplaces where lead-containing solder is used, there are very strict regulations on occupational health and safety, so this kind of thing doesn't happen.
And that's exactly why DIYers, and not just in that area, poison themselves much more often.
Incidentally, this metallic abrasion is much less with lead-free solder, even on the hands.
