Of course the arc will emit a magnetic field, but it's minimal. Arc instability or arc wander is caused by a magnetic field often gets worse welding in corners or or the top portion of a butt weld in the vertical up position ( why we use run off tabs to reduce this). Moving the ground often helps reduce the magnetic field, keep it close to where you're welding.
So in my opinion there couldn't be much of a magnetic field or you wouldn't be able to control the arc, but of course ask your doctor. Safety first!!