What might hope be without time?
Intuitively, we define hope (Ελπισ) by describing what hopeful people do: they look to the future with some expectation. But perhaps the essence of the word is hiding, undivided, in the second part of that definition. In our disposition towards the event.
How could you have hope without time? Or is this even possible. Perhaps hope is discursive, and needs to happen within time, and each time it happens within time, each time it is fulfilled or disappointed, the phenomenon grows more clear.
In the Greek, it can be associated with the double genitive. The hope of X in Y. In both cases arising from the thing spoken of. The one hoping hopes from himself, and the thing hoped of provides not generic assurance but some assurance of itself.
So the disposition of the one who hopes is directionally attuned to the future, to the unfolding event, yes, but the whole definition of the thing is in the way that he is attuned to the future, which arises from him, and is characteristic of him. And that to which he is attuned, the unfolding event, has its own nature, and something of that nature uniquely corresponds to the sensibility with which he is looking at the event.
Perhaps this might be thought of atemporally. Hope, as a disposition, encounters things, but it doesn't have to. I can be hopeful about just the present moment, in itself. The last gift in the box of Pandora, nothing further to issue.
A simple example in language: "I hope I did the right thing." Perhaps this doesn't necessarily look to a future time of vindication, of discovering that I did the right thing. Rather, the event to which I am attuned is the present moment, and I am looking at the event with myself inside of it.
The place of vindication of atemporal hope is not the future, but in the intuition of the larger picture.