Yes, and this is usually related to poor ventilation within the flue. If the chimney has been fully capped off at the top of the stack and the fireplace removed/blocked off within the property, there will be a lack of air within the flue. When the property then warms up, condensation will collect within the flue and usually present itself as damp on or around the chimney breast.
To resolve this issue, it is essential to vent any unused chimney at the top with a suitable cowl and at the bottom with a vent below ceiling height on the chimney breast. If the chimney is already well ventilated it may be that condition of the chimney stack has deteriorated and is allowing some water/moisture to penetrate within and will need addressing.
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