Kosher vs. Halal

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Here's a question I'm wondering about, since the food laws of both religions are fairly similar. Can a Muslim eat Kosher food, and can a Jew eat halal? I'm assuming here that the Muslim has no access to halal food, and the Jew can't get Kosher food. Also, is there ever a time where It's possible to eat non-kosher or haram foods, or would this literally be a last resort option (as in, you're on the brink of death, and the only food available to help you survive is non-kosher or non-halal - do you eat it)?