Am I asking a ridiculous question here?
Is it possible to write an object, one at a time using Serialized?

For example:

While ((myObject) obj exists) {
...
out.writeObject(obj);
...
}

so that each obj will be added to a persistence store.

Then to retrieve, do the opposite:

While ((myObject) in.readObject() != null) {
...
// do something with object
...
}

So that I read every object back out again