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I do not think so. Fire can be described as a plasma, that is to say a mixture of high energy radicals neutral and ionic specicies. Freezing fire will require minimizing the kinetic energy of these species. Reduction in their kinetic energy will result in the destruction of the plasma or fire itself.
Hope this helps
Moderator's Note: To "freeze" something would require that it change its physical state to a "frozen" one, namely a solid. Frozen plasma gas, thus defies the definition of a plasma:
Plasma (physical def.): a collection of charged particles (as in the atmospheres of stars or in a metal) containing about equal numbers of positive ions and electrons and exhibiting some properties of a gas but differing from a gas in being a good conductor of electricity and in being affected by a magnetic field
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