Description:

Yes, it is possible for snow to fall over a desert.

Deserts are defined by low precipitation, not temperature. Some deserts, like the Gobi Desert in Asia or the Atacama Desert in South America, can experience cold temperatures, especially at night or during winter. Even the Sahara Desert has occasionally seen snow, such as the snowfall in Aïn Séfra, Algeria in recent years.

So while it's rare, snow can indeed fall in deserts under the right conditions.