No.
But the ancient Hebrews understood that whether good things happen or bad things happen, nothing happens outside of God's control over the universe.
When it rains and crops are watered, that was a blessing from God.
When it doesn't rain, and crops die, that also was by God's will.
What most of us are trying to get at is how those who wrote the text saw and understood things. It's not about a revelation of God Himself, but a description of how the ancient Hebrews thought about their world.
Saul's erratic behavior was a direct result of God removing His favor from Saul.
Not that God actively tormented Saul, or that God actively sent a malicious spiritual being to torment Saul. But that as a direct result of Saul's loss of favor Saul began to be overcome by madness.
It's important when reading the Bible to understand the ways in which those who wrote the texts understood the world around them, and to understand the way they word things.
The ancients also conceived of the world as established upon pillars with a material firmament over the earth, that doesn't mean that the world actually rests on pillars and that the sky is a solid dome--but that is how the ancient Hebrews (and other surrounding cultures) perceived their world, and so talk about it.
Building theological propositions from such things would be incorrect to do; Christian theology is not based upon descriptive elements in the biblical texts, but rather Christocentrically by looking back upon the Old Testament with the hindsight of Christ.
"I create darkness and I create light", as is said in the work of the Prophet Isaiah, does not mean that God is both good and evil; it means that there is only one power in the universe: God. We do not attribute one set of natural phenomenon to this god, and then another set of natural phenomenon to another. There isn't a god of the sun, of the moon, of fertility, of the harvest, of the rains, etc. There's just the one God, YHWH.
Part of that Hebrew monotheism was to emphatically deny the power of other gods, and since there is only one God, all that happens happens only by the will and power of the one God, YHWH.
So why does Saul fall into madness? The author writes that that God removed the favor of His Spirit from Saul, and that a harmful spirit from God came upon Saul and tormented him. Well, where else could this madness of Saul's come from? If there is only one God, there is no other power in the universe, then what else could Saul's affliction have been if it wasn't somehow under God's power and providence?
What we are seeing here in the text of Samuel is how the ancient Jews wrestled with God in their understanding of Him. Much of the Old Testament involves the struggle with God, the way in which Israel and the ancient Hebrew people wrestled and sought to understand the God of their fathers, the God who made covenant with them. That wrestling with God is a reoccurring and even consistent theme throughout the entire Hebrew Bible.
From a Christian perspective there was a very incomplete revelation of God, the knowledge of the ancients of God was like an incomplete and patchwork work. Only becoming complete and seamless in and through Jesus, the Son of God who gives us the full face of God the Father. The New Testament both implies and outright says this on a number of occasions.
Fundamental to the Christian religious proposition about God is that we only really, truly know and meet God in Jesus Christ. Jesus is the Word of God, He is the Revelation of God.
-CryptoLutheran