Depends how you do it, currently absolutely not because it uses coal coke usually for the heating and/or carbon infusion. To have it be carbon capture you would have to heat it with an arc furnace or something, completely powered by renewables (this is actually very hard to to because of the ridiculously high temperatures involved) and then find some way to use captured carbon to put into the mix, or potentially using very pure charcoal or something

According to the article the way they define green steel is using arc furnaces or hydrogen to heat the steel, idk how they do the carbon input tho.