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No. I wish I had both.

We use the verb wish to say that we regret a situation, that something is not as we would want it to be....Simple past

Examples:
I wish I lived in the country.But I live in the city.

When we talk about a situation in the past and regret it, we should use the verb wish in the past perfect.

SinhmaniWhen we talk about a situation in the past and regret it, we should use the verb wish in the past perfect. I wish I had both.

That would be I wish I had had both.

Definitely, however, it could also take this form:
I wish I had not eaten that salad. (but I did)

SinhmaniDefinitely, however, it could also take this form:I wish I had not eaten that salad. (but I did)

I don't know why you used the word 'however'. You have simply given another example of a past perfect.

Anonymous i wish i have both.is this correct?

No. But, besides fivejedjon's version, you can say: I wish I could have both.