You ask the question;
Evolution (and by such DNA) is, by your definition, an earth driven pattern < um, no .... not at all
dirt and water are matter alone .... does dirt or water (earth driven patterns) have the ability to reproduce itself ?? .... Y/N
Well, Yes.
Crystals do just that, and clay in particular is able to seed itself by wind born dust to suitable areas for regrowth. Clays are also interesting in the way they can catalyse proto-organic molecules providing a structure where they can replicate.
The study of montmorillonite clay, by Martin Hanczyc, Shelly Fujikawa and Jack Szostak at the Massachusetts General Hospital in Boston, revealed it can sharply accelerate the formation of membranous fluid-filled sacs.
These vesicles also grow and undergo a simple form of division, giving them the properties of primitive cells. Previous work has shown that the same simple mineral can help assemble the genetic material RNA from simpler chemicals. “Interestingly, the clay also gets internalised in the vesicles,” says Leslie Orgel, an origin of life expert at the Salk Institute for Biological Sciences in San Diego, California. “So this work is quite nice in that it finds a connection between the mechanism that creates RNA and encloses it in a membrane.” (New Scientist 23rd October 2003)
The clay would act as a surrogate “cell”, as RNA like molecules have been created spontaneously in conditions that probably existed on the primordial earth, it is conceivable that this may have been the way life started, randomly and without intelligence.