No. This sounds like a maintenance issue. For coverage to be afforded the damage would have to have been caused by a covered cause. I cannot think of any way that damage to the chimney flue could have been damaged by a covered cause. Sorry.
Chimney flue = Arubá (ארובה)
chimney
Chimney
flue
flue
A FLUE is a chimney or vent. IE A flue was fitted to my central heating unit.
the clay chimney liner, or flue as its called maybe cracked, and soot may be seeping out of the crack and into the wall, leaving a stale cold soot smell.
A flue
the flue pipe from my boiler runs directly to the hole in the chimney
The inside of the chimney. The flue carries smoke and combustion gasses out of your house. The clay tile traditionally used to line a chimney is known as a "flue liner".
"Flue" is a channel for conveying hot steam or smoke (like in a chimney)
"The flue on the chimney was closed, causing smoke to move out into the room." "Damaging fires can occur when unburned material called creosote accumulates on the metal flue and in the upper chimney."