This is actually a really excellent question, and the short answer is "you can." We used to do it that way, and there was a whole area of enterprise (data) modeling. In fact, the common OOD notations evolved from ERD.
What we discovered, however, was that data-driven designs like that had some difficulties, the biggest of them being that the natural structure for a data base doesn't necessarily match well to the natural structure for code.
OOD, to a great extent, derives from the desire to make it easier to find a code structure that has a couple of desirable properties:
- it should be easy to think out the design
- it should be robust under changes.
The ease to think out design comes originally from Simula, which used what we now think of as "objects" for simulation specifically; it was convenient in simulation to have software entities that correspond to the things you're simulating. It was only later that Alan kay et al at Xerox saw that as a more general structuring method.
The part about robustness under changes had many parents, but one of the most important ones among them was Dave Parnas, you wrote several papers that identified a basic rule for modularization, which I call Parnas' Law: every module should keep a secret, and that secret is a requirements that is likely to change.
It turns out that by combining Parnas' Law with the Simula idea of a "object" as corresponding to something that can be identified with the real world, you tend to get system designs that are more robust under requirements changes than the old way we did things. (Not always, and sometime you have to be crafty, as with the Command pattern. Most objects are nouns, thing that have persistent existence. In the Command pattern, the ideal objects are verbs, things you do.)
However, it also turns out that that structure isn't necessarily a good way to represent the underlying data in a relational database, so we end up with the "object relational impedance mismatch" problem: how to represent the transformation from objectland to database-land.