Not necessarily. Certainly God must at least tolerate miscarriages, since He sustains everything in existence.
But God also sustains human free will in its existence, and the choice to commit evil acts is one of the possible choices of the human will. So, at least with humans, we know that one "natural" creature (one aspect of the natural order) has the ability to affect the natural order for evil, although God does not directly intend these evils. These evil acts are directly willed by the natural agent, the human being. For example, human beings can create the evil of environmental pollution.
Therefore, it is logically possible that other beings have been allowed by God to affect the natural order for evil. It is possible that demons were allowed to bring disorder into the natural world after their rebellion. Another theory regarding "the thorns on the rose" is that Adam's sin, his rebellion against God, caused a tear in the fabric of the cosmos, bringing about natural disorders, like miscarriage.
Finally, we can know that God allows the existence of evil so that greater good may come from it, since we know with certainty that God is all good and that God does not directly will evil.