Only if the dragon has real bad gas and lights it with his breath...
Contrails are condensation trails (sometimes vapour trails): artificial clouds made by the exhaust of jet aircraft or wingtip vortices which precipitate a stream of tiny ice crystals in moist, frigid upper air. They are the cloud-like trails of water vapour that can be seen in the wake of airplanes, either from their exhaust or sometimes from their wing tips.
Contrail creation
Contrails are created in one of two ways:
1. Firstly, the airplane's exhaust increases the amount of moisture in the air, which can push the water content of the air past saturation point (see saturation or dew point). This causes condensation to occur, and the contrail to form.
The atmosphere contains water (which is why rain occurs) and although most aero-engines are thought of as running on a fuel such as petrol/gasoline (piston engines) or paraffin/kerosene (jet engines) they actually use a mixture of fuel and air, the air being taken from the atmosphere. This air contains moisture in the form of water-vapour, which passes through the engine and is heated in the cylinders/combustion-chambers and emerges as superheated steam in the exhaust. For every gallon of fuel burnt, approximately one gallon of water (steam) is produced, depending on the fuel/air ratio. At high altitudes this steam emerges from the exhaust into a freezing environment, (as altitude increases, the atmospheric temperature drops) which lowers the temperature of the steam until each individual droplet freezes into tiny ice crystal. These millions of tiny ice crystals form the contrails. The time the steam/water droplets take to freeze accounts for the contrail forming some way behind the aircraft's engines - see The contrail of a four-engined jet over Bristol, England above.
2. The wings of an airplane causes a drop in air pressure in the vicinity of the wing (this is partly what allows a plane to fly). This drop in air pressure brings with it a drop in temperature, which can cause water to condense out of the air and form a contrail. Exhaust contrails tend to be more stable and long-lasting than wing-tip contrails, which are often disrupted by the aircraft's wake.