Isn't stigmata just getting the wounds of Christ on your body?
Doesn't sound like perception of any sort to me.
Perhaps you mean telekinesis? Doing actual damage to your body with your mind? That sounds alot closer than ESP.
If so, I can see it being possible, assuming tk is possible... If someone has enough faith to consciously or subconsciously will the damage onto his body, then yea, you get a pretty neat stigmata effect
I'd prefer to put tk to more constructive uses though...