Nope, they're essentially synonyms.
Join FYERS Community to pick others' brains on Trading/Investing
While in everyday life, both these terms are used interchangeably to mean the same thing, i.e. owners of an enterprise.
Now to dig out the technical difference for the picky ones, here is an example.
A & B & C comes into a partnership.
A & B brings in the liquid funds to meet the operating expenses and owns the business in full, while C brings in the commodity / inventory / (agricultural produce for eg.) and has rights only on the commodity / inventory he brings in.
In this case A & B are the shareholders, while C technically is a stockholder.