Yes, in fact his descendants expanded the empire over most of Eurasia.
Yes, he had many descendants that helped him rule much of the Eurasia continent by conquering vassal states.
I think that Genghis Khan has a fascinating history Is that so? I'm aware he was born around 1162 and died in 1227. He was the founder of the Mongol Empire. Didn't that empire stretch over most of the continent and then some? I don't know about "and then some", but by the time he died, the empire covered much of Central Asia and China. Wow, can you imagine having an empire that large? Did he have children of leaders to help him manage?
His descendants extended the Mongol Empire across most of Eurasia by conquering or creating vassal states in all of modern-day China, Korea, the Caucasus, Central Asia, and substantial portions of Eastern Europe and Southwest Asia.