Yep. And we still think that, why else would be be so huge on guardian angels and "spirit guides" (or whatever you want to call them)?
The first step in a curse was to either get the person's personal deity (dLamma) to abandon them or to get a more powerful deity to endorse your curse. Once the person's personal deity was neutralized, you could do whatever you wanted to them; they were helpless.
But you don't see that stuff in the Hebrew Bible or the New Testament, do you? What happened? Why not? Think about it and take a shot at it in the comments.