If you are referring to those attributes which we add to with 'training points', no I don't think so. The 3 that would be related to stealing are
Speed
Base Stealing
Base Running Aggressiveness
That 3rd one, BR Aggressiveness they say in the description about it, that it only applies to simulation. The likelihood of him stretching a double, or trying to steal etc, when in simulation.
So if my 'theory' is correct, that whetehr he gets a good jump or not, is dependent on these attributes, I would assume "Base Stealing" is the only one it would depend on, plus his speed would add the chance for success at getting there fast.
What was odd, I thought, the one and only time I have stolen so far, I was on 2nd and another runner on 1st. I pushed R2, and successfully stole 3rd, got a good jump via whatever magic. What was surprising was that the guy on first also stole! It was a double steal, as if I were the mgr and called for a double steal.
Never seen anything like that, and am really puzzled so far. It might be great stuff, if we can get a handle on how it works etc.