It is not the Walker that chooses the path. The path cannot tell where it is the Traveler is to go or how to get there; it just lays there waiting for someone to come by and give it company. Waiting for a long lost friend who bore the path his pain, anger, and happiness.
If the Walker is like me then he chooses the path at no will of his own. He walks along the path to see if his Dreams become Reality. If myths were once legend - if legend was once history; hopeing and wishing(both at the same time) that his Dreams will meet him on that path someday. Whether to greet him with a warm smile or a warm fist in the teeth. He is ready for anything now that he has unexpectedly fallen down the road that he now walks with some dignity.(After whiping the dust and tears from his eyes and looking to see if anyone heard him cry for his mother.)
The one and only thing that the Walker brings with him on the journey to meet the Path his himself - and sometimes not even that for he is ill prepared for the long journey. In fact, I'm sure he thinks, no! believes deep down in his soul that the road ahead is nothing more than what you or I would consider to be a tiny Sunday stroll through the park. So how can the Path choose the Walker? Is it that he triped over a rock while meaning to go down another? Or did the Walker somehow get lost?
If so then the Walker still does not choose the Path. Why you ask? Because he could have choosen whether or not to turn back and go Home(for a clean pair of pants) or to continue down the dark path to meet his Fate.
The question implies whether we choose this Life or if Life has choosen us to live. The answer to the question is simply this: Nieither. The Walker cannot choose the Path nor can the Path choose its Companion.