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when creating a Cluster with `new eks.Cluster(...)`, `endpointPublicAccess` is per default `true`. Therefore you can access the k8s API server from anywehre (See <https://www.terraform.io/docs/providers/aws/r/eks_cluster.html#vpc_config>)

I don't think you can change this parameter when creating a "highlevel" cluster resource however

But what happens if you just adjust the value after creating the highlevel resource? I.e.

```
const cluster = new eks.Cluster(...);
cluster.eksCluster.endpointPrivateAccess = true;
cluster.eksCluster.endpointPublicAccess = false;
```

This is not supported by the `pulumi-eks` package yet. See <https://github.com/pulumi/pulumi-eks/issues/86> (and give it a thumbs up!). PRs also welcome (this one should be very simple). 

Somehow I missed the issue when searching