Statesboro, GA, USA
Do you believe everything in nature is handled by God?
What about sicknesses and tumours, natural disasters, etc?
I'll weave around a bit and answer this question en route.
The Jews once had a water-tight theology which said that blessing was a sign of God's favor, and adversity was a sign of his displeasure. They attributed all sickness, misfortune, and general mayhem to sin and God's punishment. Later theology sought to correct this extreme belief. The book of Job is the most notable example of this reformatory theology, but also the book of Ecclesiastes. In addition to these Old Testament examples, we have in the New Testament the episode where Jesus corrects his disciples when they suggested that either a blind man or his parents were responsible for his being born blind, due to personal sin.
While I never would want to return to such an unrealistic (and sometimes cruel) extreme of belief, I still recognize that much suffering in this world is due to sin ... if not to directly punish, at least to alert us to the fact that all is not well, and help us to aim at spiritual renewal. C.S. Lewis once wrote that God whispers to us in our pleasures, but shouts to us in our pains. Part of it is living as fallen human beings, in need of redemption, and is part and parcel of this present world.
Of course this doesn't mean that sin cannot be the direct cause of pain, or that God doesn't specifically punish. Because I believe there are cases where he does. However there are also experiences of pain and "evil" that seem to defy what we would humanly recognize as justice. This is the problem of Theodicy, so often encountered in the Bible. To me, it is tempered by the fact that we all have sinned, and shouldn't be turned to impiety because life is hard. Though it is hard, it is also concurrently good. It is also tempered by my understanding that there are purposes in hardship that go beyond first glance. And in that sense, God is benevolently "involved" even in what may seem random at best, and cruel at worst. At the very least, hardship is an opportunity to seek his deliverance, help, and answer.
So ultimately I would have to answer "yes" to your question. And I guess I would have to say that if God may be involved where it seems he is absent, and where no "design" can be divined by us in a situation, then how much more when telos is obvious, as in the creation of life?