If it is the slate then weight wise it's pretty heavy. You'd have to make sure the wall and substrate was up to bearing the m2 load and use a proper cement based adhesive.
Also the tiles would have to be well calibrated otherwise laying them on the wall would be a complete nightmare (you can get away with slightly lesser calibration on the floor by compensating with bed thickness- not such a good idea on the wall with tiles that size!)
EDIT: Also there seems to be minimal/zero grout lines so another reason to need good calibration not just thickness wise but dimensionally
Supposedly the key to good adhesion is to use a special heavy roller to make sure the seams are pressed down hard, and completely sealed. You can probably find books or website with detailed instructions. Or consult with the local building supply store on preparing the floors to take the tiles.