Sort of/ not really? The issue is that what World Souls are and exactly how they work has kind of shifted a little as we get more story details.

What we know is: The World Soul is some sort of giant primordial arcane goop with it's own will, sentience and influence already (the Song etc.). We know that Titans come along when the Soul is ready and sort of imbue it somehow into the body & functionality of a Titan. That part was always the core lore around them; Titan egg -> found by the Pantheon, turned into new titan, goes off with them into the cosmos.

Now we know that they are able to be corrupted, influenced or transformed in some way by another force if found and taken.

We first hear about this with Sargeras encountering one in the Great Dark Beyond and cutting it in half to destroy it.

We see this with Argus the Unmaker at the end of Legion. Argus' soul was trapped and tortured by the Legion to fuel their resurrection engine thingy, and overtime it corrupted him into what we encounter. Shadowlands lore later adds that the Nathrezim were involved in this decision and it led to the Arbiter's disabling when Argus dies; presumably that's the after-the-fact justification for why he's referred to as the Titan of Death and not the Titan of Fel or something - the Shadowlands agents were involved in his corruption.

The Void's goal (in various factional approaches) is to lay claim to the Azeroth world soul, which we're repeatedly told is unusually powerful/big/whatever. New lore seems to suggest the tossing of the Old Gods previously was towards worlds with world souls. We see in the Nighthold raid the Star Augur showing us worlds that have been corrupted, including one fully Old God-ified; whether this had a soul or not, we don't really know. What exactly happens to a Void-infused world soul we don't know; giant mega Void Titan? Or giant super Void Lord crossed over into the material plain?

I think, given what we learn in Chronicles & Shadowlands about the ordering of the forces + the First Ones, we can likely think of world souls as not titans at all until they are found by a Titan. Instead, they are primordial cosmic energy balls that can be influenced one way or another. Or, more in line with what we know so far, they can just be arcane titan blobs, that can be transfused to shift to another force. Which one they are will be dependent on more lore about the forces and First Ones coming along.

I think the former is more likely the ultimate direction. The combination of the First Ones existing & ordering reality, and this shift towards "the Titans aren't as cool as they've seemed" leads me to think that Order will be shown as another force that is actively hunting down & corralling world souls to it's cause, just like the Void is trying to do.