Kubernetes Ingress to External Service?

You can do it by manual creation of Service and Endpoint objects for your external server.

Objects will looks like that:

apiVersion: v1
kind: Service
metadata:
  name: external-ip
spec:
  ports:
  - name: app
    port: 80
    protocol: TCP
    targetPort: 5678
  clusterIP: None
  type: ClusterIP
---
apiVersion: v1
kind: Endpoints
metadata:
  name: external-ip
subsets:
- addresses:
  - ip: 10.0.40.1
  ports:
  - name: app
    port: 5678
    protocol: TCP

Also, it is possible to use an EndpointSlice object instead of Endpoints.

Then, you can create an Ingress object which will point to Service external-ip with port 80:

apiVersion: extensions/v1beta1
kind: Ingress
metadata:
  name: external-service
spec:
  rules:
  - host: service.example.com
    http:
      paths:
      - backend:
          serviceName: external-ip
          servicePort: 80
        path: /