If by consciousness, you just mean thinking, then sure.

But if you mean awareness — “phenomena”, if you prefer — then I don’t see why an experiential state would (or could) be entirely secondary to a physical state.

It is, after all, possible for me to write words and perform other physical actions based on my experiential state. In many ways, my mental world is more “real” than the physical world.

For what it’s worth, I don’t think rejecting physicalism necessarily requires embracing the idea of a soul. I’m an atheist, and a neutral monist, for example. But if I had to choose between only physicalism and idealism, idealism makes more sense. Before anything else, I’m conscious.