I would say that the more likely route into such a thing will be a profoundly shifting personal experience. For example, some kind of psychedelic experience (although for some it is just "fun" and doesn't trigger any spirituality), or more commonly, immense personal suffering and a desire to escape from it.
The shift from atheist and nonspiritual, to religious or spiritual is a dramatic shift. It's unlikely to be pleasant or comfortable. For me, it only developed as a coping mechanism because I was unable to accept the world from a nonspiritual point of view. As such, it probably isn't something you should desire.