Damnationists generally don't seem to think so. They appear to think hell was always there somehow and God had nothing to do with it.
It isn't my assertion, it's what damnationists , a group I am in no way a part of, believe that is how God has designed thr universe, The fact that such a belief portrays God as a pitiless monster beyond any human comparison doesn't move them in the least. .
I happen not to believe that. I believe that either God save everyone, or that those who aren't saved are removed from time/space, and thus never were. God :"never knew them", because they never existed. "Oh, but God can't do that! Baloney. God is by definition omnipotent, and if He declares that you never were, you never were, end discussion.
Right now, though, I lean toward the idea of universal redemption, because we're told that God desires it. Now if I were God, and I wanted everyone saved, by cracky they'd be saved! I reckon God's wants constitue laws of the universe. BUT... having said that, if God simply wants to simply remove the recalcitrant from ever having existed, then I see the justice in it and can't object.
I have neither the need nor the desire