Nah, EAFs mostly melt scrap steel. Maybe some DRI as well. But are incapable of chemically reducing the iron ore to elemental iron.

Boston Melts claims to have developed a process that allows direct electrolysis of iron ore fines into elemental iron, so that the reduction and the refining to steel all happen in the one vessel. Oftentimes, electrolysis of metals involves a carbon anode that still releases CO2 - this is how almost all aluminium is produced. Crucially, Boston Metals claim to have invented an inert anode that doesn't release any CO2.