Can a meteorite contain quartz?
Almost never in visible amounts. Quartz is common in Earth's crust but rare in meteorites, so a rock with obvious quartz crystals is very likely terrestrial.
Quartz is one of the most common minerals in Earth's continental crust. It is the main mineral in sand, sandstone and many granites, and it is hard, glassy and often white or clear.
Meteorites, by contrast, are very poor in quartz. Their parent bodies did not go through the repeated melting, water activity and recycling that concentrated silica in Earth's continents. When silica does appear in meteorites, it is usually as tiny grains of other forms, such as tridymite or cristobalite, which require a microscope to identify. A few rare meteorites contain small amounts of quartz, but never as the conspicuous crystals or veins seen in many Earth rocks.
This makes quartz a useful warning sign. If your rock contains visible glassy, white or clear crystals that scratch glass, or white veins running through it, it is almost certainly an Earth rock. Flint and chert, made of microcrystalline quartz, are also common meteorwrongs in chalk and limestone areas, often with white or cream outer coatings.
Quartz is important in impact craters on Earth, though. When a large meteorite strikes rock containing quartz, the shock creates microscopic features called planar deformation features, which prove an impact. These are found in the target rock, not in the meteorite itself.
In short: obvious quartz means think again. Look for other features before deciding whether to seek expert advice.