The time my writing voice comes out most is when I'm not focusing in on Craft (tools of writing); but at the same time, I don't think voice can clearly emerge unless the craft elements are already in place. When word choice and rhythm and flow are happening on the unconscious level, I think it's easier to see the voice that's present.
And then there's editing. We can refine our own voice in revisions just like anything else.
I also feel voice is something that grows and changes as your skill with writing tools grows and changes. And it's something you can change yourself, depending on the project. In fiction, sometimes I want the character's voice to be strongest, sometimes I want my voice to be discernible.