Sort of but the case 8tself acts much like a antenna sticking out of the machine. Magnetic fields as was mentioned are tough to shield. I see the largest issue would be holding the case as it is annealing.The AMP annealer has a steel case that covers the unit, that is grounded. That is a faraday cage isn't it?
The issue is how this kind of emf effects different people in terms of symptoms.
Also in terms of air born chemicals you can not go by smell. Some of the most toxic have no odor. Still simply running a fan with ventilation if it was not used should give feedback to point towards or against.