E2E tests uses KUTTL, so you need to install it to run the tests locally.
First create a kind cluster
kind create cluster --name kuttl-cluster
Then build the image and install the test chart in the kind cluster
./hack/ci-mount-image.sh
And finally run the tests
kubectl kuttl test --config test/e2e/kuttl-test.yaml test/e2e/kuttl --start-kind=false