No, that is not conceivable. Heat flow in metal rod is caused by temperature differences, but over time, temperature equilibrium is attained, therefore there is currently no temperature difference at either end.
Metals vibrate continuously, and when one end of a metal is heated, the other end moves with the heated end. Conduction is the name given to this occurrence. Free electrons transfer the heat to the following atoms.
Even as solids, metals can carry electricity. The presence of delocalized electrons is the cause of this.
All metals are effective electrical conductors. Their conductivity is used to divide them into two groups. For instance, while sodium, potassium, and magnesium exhibit relatively low conductivity, copper, gold, and silver are all good conductors. Thus, they are referred to as normal conductors
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