Can a meteorite start a fire?
Almost never. Small meteorites are usually cool or merely warm when they land, so they very rarely ignite anything; only large airbursts or impacts release enough heat to set fires.
It seems natural to assume that a rock which has just blazed across the sky must land red-hot. In fact the opposite is usually true. A meteoroid is heated only on its outer surface during its brief, fiery passage through the atmosphere, and the molten layer is constantly stripped away. Once it slows down, typically 10 to 30 km above the ground, the glow stops and the stone falls for several minutes in what is called dark flight, cooled by the freezing air of the upper atmosphere.
The inside of a meteoroid has spent millions of years in the cold of space, and the heat of entry does not have time to soak through. So meteorites recovered soon after landing are usually described as cool or only slightly warm to the touch, and documented cases of small meteorites starting fires are essentially unknown.
The story changes for much larger objects. When an asteroid tens of metres across explodes in the air, it releases a burst of intense heat and light. The 1908 Tunguska event in Siberia flattened around 2,000 square kilometres of forest, and the heat flash scorched and set fire to trees near the centre before the blast wave arrived. The huge impact that formed the Chicxulub crater 66 million years ago is thought to have triggered widespread fires, as hot debris rained back down around the globe.
So if you find a freshly fallen meteorite, there is no need to fear a blaze. Do avoid touching it with bare hands, though, not because of heat, but to keep it clean for scientists. Pick it up with clean foil or a fresh plastic bag, note where it landed, and contact a museum.