Eh, in feudalism too, if you were the son of a noble, you’d get the estate. And in real-world communism too, if you were the child of a high ranking official, you’d get into positions of power and know influential people. Even this is not specifically tied to capitalism.
Capitalism is the fact that you can buy and sell the tree and the fruits freely. In feudalism, you couldn’t do this, not really at least, the land belonged to the noble, and you owed them your life and your work. In some cases, it was more akin to slavery than anything else. And in communism you couldn’t do this either, the land and the produce was of the state, and the powerful officials decide how to allocate them.
And I’m not even saying that capitalism is in any way good, just that “powerful people at the top” is not in any way specific to this or that economic system.