Yes, snowfall occurs during all 12 months of the year in Antarctica. The continent is permanently covered by a massive ice sheet—averaging 1.9 km thick—and experiences snowfall at various locations throughout every season.
While snow falls every month, accumulation rates vary. Coastal areas receive more precipitation (up to 200 mm water equivalent annually), while the high interior plateau (e.g., Dome A) gets as little as 25 mm. Summer (Nov–Feb) sees slightly more frequent snowfall events due to marginally warmer air holding more moisture.
So, whether you visit in January or July, you’ll witness snow falling on the coldest, driest, windiest continent on Earth.