I can answer this with only high school biology.
No, you can't.
There is no more "more information" in a human body than there is in a mass of single celled organism of equivalent mass. Indeed on the scale of DNA (usually the source of this "misconception": that DNA is a measure of information), each cell of a single celled organism may have MORE DNA "information" than the human genome does.
I don't think you understand what "informaton" in this setting means. Hint: Altoug DNA information would probably qualify in a very roundabout way (as would the the information pertaining to a detailed description of a hen's egg), the informaton they're concerned about here is a lot more fundamental, and exists at a far lower level than DNA. We're talking wich particular types of fundamental particles went into the thing, and indeed which particular particles went in and what particular quantum properties *they* had.