It seems to me this is not necessarily so. That is, I suspect DNA is not "in" the "dust" if we take "dust" to mean physical matter. If DNA is "in" the matter, then inorganic minerals should be able to boot-strap themselves into organic life forms. (But we never observe this....)
DNA is a specification of life. As such, I imagine it was given "in the Beginning" according to the Word of God, Logos Alpha to Omega, along with the laws governing material Nature and its evolution in time.
Well, JMHO FWIW. Thank you so much for writing, Moseley and for sponsoring this wonderful thread!