Hi Ivan,
It seems the answer is yes

Hope this helps. The link is
www.inchem.org/documents/hsg/hsg/hsg067.htm2.1 Exposure to Acrolein
The general population will normally be exposed to acrolein through
the air, particularly through exposure to smoke. Only persons who are
present when acrolein is being applied as a biocide, or who are near
an accident during the transport of acrolein, are likely to have
contact with the liquid or its solution in water. Some alcoholic
drinks contain a little acrolein, and it is also produced during the
heating of foodstuffs.
Average levels of up to approximately 15 µg/m3 and maximum levels of
up to 32 µg/m3 were measured in urban air, away from industrial
sources.
Acrolein is principally produced by fire, especially during the
partial burning of organic material. Thus, atmospheric levels ten or
one hundred times higher than those mentioned above may be found near
exhaust pipes, near hot smoking oil, or in the smoke of wood or
garbage fires.
In indoor air, smoking one cigarette per m3 room in 10-13 min was
found to lead to acrolein vapour concentrations of 450-840 µg/m3.
Thus, humans may be exposed in the home through cigarette smoking or
through the smoke from cooking; they may also be exposed in a street
polluted by exhaust gases, or near a fire. In the workplace, exposure
may occur through the heating of organic material during the welding,
cutting, or sealing of plastic sheeting, or near hot smoking oil in
oil-seed mills, where levels as high as 10 000 µg/m3 have been
measured.
2.2 Fate of Acrolein
Acrolein is degraded in the atmosphere. In natural water, it
dissipates fairly rapidly, though the toxicity of the compound for
microorganisms may limit biodegradation. Bioaccumulation of acrolein
is not expected, and it is not likely to persist in the environment.
2.3 Uptake, Metabolism, and Excretion
Acrolein is a very reactive substance and reacts with substances
present in the tissue at the site of contact. As a result, irritation
and damage occur at these contact sites and transport through the body
is only slight. Thus, metabolism is expected to occur only on a minor
scale.
It is published by the WHO

so it should be right!
Eleanor