I don't think so, the
Eichar's novel states
'The stove is in the center of the tent, not yet assembled, and an open flask of cocoa sits frozen nearby as if waiting to be reheated. There is also a cloth napkin bearing neat slices of ham.
and group journal
Feb. 1, 1959
'While some of the hikers continue to snack on cold food, Zina and Doroshenko set the camping
stove in the center of the tent. Made of folding cast-iron panels and outfitted with a collapsible
chimney that must be twisted into proper shape, the stove is extremely tricky to put together,
particularly with cold hands. According to their mock sports page in The Evening Otorten, the
champion stove assemblers’ record is one hour, two minutes and 27.4 seconds. But on that night, the
stove just sits there in pieces.'
So, the stove wasn't assembled that night and they were low on fire wood, thus there could not have been a fire.