Note: Did you mean for this to have a negative form? Maybe "...something finer"?
Anyway, no, it is not grammatically correct. A wish is generally a desire for a change in reality; a miracle or something considered impossible or at least highly unlikely. Hope is an expectation for something to happen the way you desire and is generally something likely or at least reasonably possible.
On the Internet, I've seen various portrayals of time relevance listed as differences between these words, however I think it can be shown logically that a wish applies now (or in a moment) to change reality; the effect of that change might be in the past, present, or future, but the wish is intended to change something in the present. "Hope" on the other hand always applies to the future. Even when one says, "I hope they got home alright last night", the hope is actually saying that when, in the future, you discover what actually happened last night, that the news is positive.
So, you could say, "I hope you will have nothing finer", as now you are addressing the future.
On the other hand, "wish" seems a little bit strong. The inference is that it is extremely unlikely the recipient of your wish not have nothing finer. Something like, "I wish you all the finest things in life" would make more sense. The lack of a context with questions like these makes this analysis difficult and conjectural.
Your first sentence is grammatically correct, though questionable in intent.
Second sentence is incorrect.
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