No, Jack and John prove free will.
How?
John goes to heaven and Jack goes to hell.
Why?
Because John repented and Jack did not.
Why?
Because John received the message of the Gospel and Jack did not.
Why?
Because...
Now at this point you have either John being a better person than Jack or you have God choosing John and not Jack.
It is one or the other.
There is another alternative but it is just to keep saying the same thing over and over again in different ways rather than actually taking the next step. Some did this last time- at this point they say, "Because John humbled himself" "Because John saw God for what he is and himself for who he is" "Because John trusted the Word of God"... But these are all just other ways of saying the same thing and staying stuck on the same step.