The combustion products created by fire are usually ionized to some degree and are thus are capable of transporting charge in the presence of an electric field. It would not be the same as a good conducting metal with high electron mobility, but some measurable current might be carried under the right conditions.
Chuck is wrong! To detect fire a direct current is applied to the flame and a small current flow is established to determine that the fire is lit. The flame is rectified. This is normally used for smaller burners in the combustion industry. Look up Honeywell flame sensors.
Also the ions in a flame can be put through a large coil and electricity can be generated by the ions flowing by. Several experiments have been done with large flames.
YES.
