"Story" can also mean overarching themes or links across the campaign. Sometimes also know as "plot".
Sure. But sometimes there are no overarching themes or links, no plot, yet the game still includes tons of not-combat stuff.
For example, maybe the party chooses to go to a new area and talk to the locals. Maybe they spend 3 sessions in a high society party that they weasel an invitation to, only to board a ship and sail to a faraway land the next session. Maybe none of this is planned by the dm. No "story" is planned, it emerges from the actions of the pcs. There's no pre-planned plot- the dm didn't have a single bit of this planned or anticipated, he's winging it.
It sounds like some folks here ("remove the story and D&D becomes nothing more than Diablo") would claim that this isn't D&D, but to me, this is
exactly what D&D is about. It's not everything D&D is about- there's combat, looting, etc- but the combat and looting are no more essential to D&D than the high society ball. D&D is what you make it; the
story of the game, for me, is what you tell after it's all over, not what the dm tells his girlfriend in advance because that's how it's going to go, regardless of player agency. (Not to say that is the position of anyone in particular, but we've all seen or played in those games.)