To warm the side topic up:
Taxis are available in several villages and they will also drive to the next place, since e.g. 20km is not too much for a car. It's not like on the CF, where taxis are passing by all the time on the trail, but you can still ask in any bar you see.
I saw their bases in Jaca, Artieda and Sangüesa. I think they'll have much more part-time taxi drivers, that are less obvious. Santa Cilia used to call a taxi for pilgrims who wanted to see San Juan de la Pena. I saw one in Arres and Monreal once. The only place I really doubt they have a taxi in "town" is Ruesta.
Organising luggage transport seems difficult though.
Even some bus will pass by.
The leg Jaca-Santa Cilia-Puente de la Reina de Jaca is near the Jaca bus route to Pamplona (few times a day).
As the motorway the bus continues on the northern side of the Yesa reservoir.
Sangüesa-Isko-Monreal-Pamplona is another company (several times a day)
Tiebas, Obanos, Puente de la Reina is connected to Pamplona by bus, but not on a route following the camino.
You may see a taxi or coach at Eunate waiting for their guests, but with a very small chance that they pick you up. Ask some tourists instead.