Traveling to St. Jean from Lepuy not via Camino

Use the itinerary web www.Rome2Rio.com to find possible routes by train or bus.

Buen camino!

You could try flying Hex Air to Paris Orly, Air France from Orly to Biarritz, Chronoplus from Biarritz airport to Gare Bayonne and SNCF TER from Bayonne to SJPdP

HexAir (Paris to Le Puy)
http://www.hexair.com/

If you try using the SNCF website to figure how to go from Le Puy to SJPdP you will end up going Le Puy to Lyon, Lyon to Paris, Paris to Bayonne.

There is a more direct route, though it involves several transfers and may take longer.

Here is Bonjour la France map of SNCF services:
http://www.bonjourlafrance.com/france-map/sncf-map-large.htm

SNCF TER
http://www.sncf.com/en/trains/ter

Try Le Puy en Velay to Arvant. Arvant to Toulouse. Toulouse to Bayonne. Bayonne to SJPdP.

You could get off the train at Puyoo and take Transports64 bus #809 to St Palais and 810 from St Palais to SJPdP.

Transports64
http://www.transports64.fr/transports-64?lang=fr

Good luck.