Can the verb "wish + that clause" express open possibility?

We often use "wish + that clause" to express a past/present counterfactual statement or a future unlikely event (i.e. remote possibility):

I wish I hadn't quit my job. (But I quit my job.)

I wish I had two million dollars. (But I don't.)

I wish I wouldn't have to work tomorrow. (But I have to. I will be working tomorrow.)

My question is, is it possible to use wish + that clause to express open possibilities for the future?

Note: Open possibility/condition means the fulfillment of the event is not determined but there is a chance of it happening, as opposed to remote possibility/condition, where the speaker knows that the chance of occurrence is remote/unlikely.

For example:

(?) I wish the weather would be nice this weekend. [future time reference]

(Intended gloss: I really don't know what the weather will be like this weekend, and I haven't checked the weather forecast, but I hope it will be nice.)

I tried to find the answer from the web and in a few grammar books. The only answers I got so far are negative. But the sentence above, about the weather, seems rather natural to me. I even found this example sentence from a grammar book, but the book doesn't say whether it carries the connotation of unlikelihood:

I wish the weather would get better. I am tired of being inside all the time.

To me, that sentence simply expresses the hope that the weather will clear up, i.e. an open possibility.

Solution 1:

"Wish" is used to express regret and that something isn't as you would like it to be.

Ex. I wish I knew her number. (= I don't)

Ex. I wish I didn't have to go to school. (= I do)

Even the example that you found in the book:

I wish the weather would be nice this weekend. 

implies that the speaker would like it to be, but the speaker doesn't expect this to happen.

Especially,

I wish the weather would get better. I'm tired of being inside all the time.

tells us that the speaker wants something to change, but it is unlikely to happen.

There is one instance though when the use of "wish" can mean "open possibility," to borrow the OP's words.

wish + somebody + something

Ex. I wish you luck.

Ex. I wish you success.

But you cannot wish that something happens. You still need to use "hope":

Ex. I hope you get a high score.

Solution 2:

I don't think you can use it this way, and I'm not too happy about your examples either. Wish, as I see it used, is never future, always counterfactual; that is, there is always a tacit '...but unfortunately it's not so'. I wish I hadn't quit my job means that you did quit it, and now regret the decision. I wish I didn't have to work tomorrow means that you do have to work (and now regret not quitting your job). I wish the weather would get better implies that not only has it not done so yet, but there are no signs of improvement, unlike I hope it clears up which has no implication either way.