No, everything I have heard and read indicates all the tires were burned among other things.
Quote:
The Kims woke to packed snow and ice and couldn't move their vehicle. For the next several days, Kati Kim says it rained all day and snowed all night. The family would occasionally turn on the car for heat, but gas was low. They also burned the car tires, magazines and damp driftwood for warmth.
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http://www.koin.com/Global/story.asp?S=5784900
http://news.google.com/news?svnum=10&hl=en&lr=&ie=UTF-8&oe=UTF-8&tab=in&q=james+kim+tires+fire&btnG=Search+News