Perhaps it would serve you well to cite the rules...just to know them that much better.
Where does it say that a "player" cannot touch a live ball?
What's the definition of "player" (as opposed to sub, replaced player, non-player)?
When can A legally bat a pass in flight (what kind of pass; what direction the batting)?
Define OOB for a player, and what it means to touch any live ball.
Answer those 4 questions and you will have educated yourself on fine points of the rules.
In short, no, A cannot have an eligible player batting a live ball if he's OOB. That touching causes the ball to become dead. What's the point of that?
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