Yes, you can find snow in Ladakh in May. Visit the top of Khardung La. However, there will be no fresh snowfall and there will be no snow in Leh city. Also, there is melted snow on the highway leading from Srinagar to Leh.
In late May, the chances of seeing snow in Leh Ladakh are limited. By this time, the winter snow starts melting, and the weather begins to warm up. However, some high-altitude areas, such as Khardung La and Chang La passes, may still have patches of snow.