They're different things, and stories frequently feature plots, but you can definitely have a story without a plot and a plot without a story. Zelda games tend to be plot-driven despite being fairly weak on story. I'm really only interested in story in games these days, so I really want to know...
1. why should I care about it
2. when are you, the gaming industry, going to stop pushing open worlds into everything
3. is the story actually good this time
4. is there even a story or is it just plot
5. how do magnets work in Hyrule