Travel from Toulouse to Saint Jean Pied de Port

It is over 300km from Toulouse to SJPdP, so a taxi probably is not possible unless you are willing to pay the driver for a round trip. At 1E per kilometer, it may cost you 600E!

The bus from Toulouse to Bayonne (departs at 0030 and arrives at 0415) does not run on Saturday! The train may be your best choice.

You can travel from Toulouse to St Jean by train - via Bayonne.
From Toulouse to Bayonne takes 3.45 hours and from Bayonne to St Jean - 1.30 hours. The ticket search is for Toulouse to St jean.

Only problem is that the last train is at 3:14pm which connects with the 8:54pm train to St Jean.
Train: http://www.sncf.fr

The first train via Bayonne in the morning is at 10:36 from Station: TOULOUSE MATABIAU arriving at: 1:58 pm Departing at Bayonne at 2:07 p.m. and arriving at St Jean at 3:25 p.m.