Can a fire have a shadow?

No.

Explanation:

A shadow is basically the absence of light. Fire doesn't have a shadow cause fire is itself a source of light, so the wall or obstacle you'd be expecting it's shadow to fall on, would instead be covered by the light from the fire. Hence, fire has no shadow.

can a fire have a shadow?

Yes it can actually.

edit:Fires can have shadows because they contain hot air and soot, and not because they contain light.