The world is full of many examples and every good physicist knows there is no fundamental law to prevent complex things from being the result of simple things and random or ordinary events in nature. Physics just tells us that we need some energy input to counteract the law of entropy. The best examples occur in living organism, and one could argue that the origin of life (since it happened) is an example, but let's not consider those examples for the obvious reason that you say God did those things.
So, in chemical reactions with energy input, there are various known examples of order coming from chaos. It is these types of processes that people consider as somehow spawning the first primative DNA, or precursors to life based on DNA. This is one of many ideas of research on the origin of life, and it is not something trivial to figure out.
But, this article mentions a few mechanical examples that will be easier to visualize than chemical moleculalar-level machinery.
https://www.lhup.edu/~dsimanek/philosop/design.htm