There was a Survivorman episode where Les Stroud boiled water in a plastic bottle over an actively burning (not smoldering or coals) fire. I'm guessing it could be done although I would rather try with coals or hot rocks. However with all the current controversy about BPA and polyethylene I think I would not try it unless in real need. Heck, I don't even microwave with saran wrap anymore...
_________________________
Men have become the tools of their tools.
Henry David Thoreau