No. Streams flow from high ground to low ground, but that is not always the same direction.
Since the ultimate end for the rivers is the nearest ocean, however, the overall direction for rivers in the same area tends to be the same.
A divide is a ridge of high land that separates rivers flowing one direction from rivers flowing another. A continental divide works on a grand, continental scale.
For instance, the continental divide in the United States is in the Rocky Mountains, separating eastward-flowing rivers from westward-flowing ones.