I thought these were interchangeable names for the same thing.
I’m currently reading a book called ‘Steal This Plot’ however and realize I thought wrong: a story is a unique thing to each individual author… but the underlying plot is a different animal; in fact it may have been used before, even in ancient days.
The example that I read was from the oeuvre by Shakespeare, Hamlet. The story is about succession of royalty in Denmark, but the plot is murder and vengeance.
Depending who lists them, there are a fixed number of plots that can drive a story forward, spice up a narrative, and help to make the story more unique.