I don't doubt it. Surveys for the past several decades have consistently found huge percentages of American adults who don't know who the current President is (VP stats are even more alarming), can't find the continental US on a globe, and at the height of the Cold War, didn't know that the Soviet Union and China were Communist countries. However, this article seems to jump to the conclusion that people who answer "No" to the question "Do all plants and animals have DNA?" are somehow being influenced by a belief in Biblical creationism and imagine that humans are special in this respect. More likely, they simply have no idea what "DNA" is, but have vaguely absorbed references to DNA testing in crime cases, but have never heard of DNA in any other context (after all, many of our most clueless citizens live in crime-infested cities, where many of their friends and relatives -- and themselves -- have had occasion to have DNA samples tested by police, and many are also regular watchers of TV crime shows). You'd probably get about the same percent of "No" answers to the question "Do all plants and animals have fingerprints?", for the same reason, and in that case the same simple reasoning process would have resulted in the correct answer.
I wonder if the surveys are really finding huge percentages of Americans who are annoyed with surveys and are willing to give bad answers just to mess them up.