If yes, whether these free electrons make the surrounding conductive or will they be influenced by any Electromagnetic field existing nearby.
Yes, that is the principle by which Vacuum tube operates - there's the heater, which is heated and creates a free electron cloud later accelerated by electric fields.
The same happens in the old cathode ray tubes, where additionally to the electric field magnetic solenoids help focus the electron beam.
you can calculate the thermal electron emission current by using Richardson-Dushman's law and as all electrons that can move freely do, they will make the surrounding conductive and they will be influenced by electromagnetic fields.
How does the human bone structure create EM fields? - This, francly, I don't believe.
That does not really anser my question - HOW do bones create EM fields?
OK, even if the human bones have piezoelectric properties your experiment will still not work. Firstly because the temperature of a fire on a copper plate won't lead to a measureable electron emission. Secondly the voltage generated from human bones via the Piezo effect will also be very small (already inside the limb) - hence there won't be any measureable effect.
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