I just want to know, is it possible to refer to a service rather than a deployment (using service labels instead of deployment matchLabels) in a Kubernetes service definition?

What I mean to say is suppose I have a service A defined which exposes a deployment A-D and now I want to define another service B but this time instead of its selector referring to a deployment A-D I want it to point to the previous service defined i.e. service A? Is this even possible in Kubernetes? For eg see the scenario below

**Deployment A-D**
apiVersion: apps/v1
kind: Deployment
metadata:
  name: my-nginx
spec:
  selector:
    matchLabels:
      run: my-nginx
  replicas: 2
  template:
    metadata:
      labels:
        run: my-nginx
    spec:
      containers:
      - name: my-nginx
        image: nginx
        ports:
        - containerPort: 80

**ServiceA**
apiVersion: v1
kind: Service
metadata:
  name: my-nginx
  labels:
    run: my-nginx-1
spec:
  ports:
  - port: 80
    protocol: TCP
  selector:
    run: my-nginx

**ServiceB**
apiVersion: v1
kind: Service
metadata:
  name: my-nginx-wrapper-service
  labels:
    run: my-nginx-2
spec:
  ports:
  - port: 80
    protocol: TCP
  selector:
    run: my-nginx-1  //service label instead of deployment

UPDATE:

headless service
    apiVersion: v1
    kind: Service
    metadata:
      name: access-service
      annotations:
        getambassador.io/config: |
          ---
          apiVersion: ambassador/v1
          kind: Mapping
          name: productreadservice-mapping
          prefix: /Apps/ProductReadService/.*
          prefix_regex: true
          rewrite: ""
          service: access-service:80
    spec:
      clusterIP: None
      ports:
      - name: http
        port: 80
        targetPort: 8082

endpoint object
apiVersion: v1
kind: Endpoints
metadata:
  name: access-service
subsets:
- addresses:
  - ip: ip of the service i wish to access
  ports:
  - port: 8082
    protocol: TCP