The answer is yes, you can use "would" twice. I agree with JulieD that your sentence doesn't make sense, though. It sounds like you are saying that you really want to get killed. It might be easier to understand with a different example:
"I wouldn't sell my car even if it would make me rich." This means: "Selling my car would not actually make me rich, but EVEN IF selling my car would make me rich, I still would not sell it."
Being rich is a good thing. It's something you want. But you don't want to sell your car. Therefore, you can say that you are not willing to sell your car, and you would not want to sell it under any circumstance, "even if" it would make you rich.
In your sentence, you seem to be saying that getting killed is a good thing. You want to get killed. But you don't want to "do that." So you say, "I wouldn't do that even if I would get killed." It means, "I want to get killed, but I'm not wiling to do THAT, even if it would accomplish my goal of getting killed."
In short, your use of "would" is correct, but your use of "even if" seems to be incorrect here.