Kubernetes: Is it possible to mount volumes to a container running as a CronJob?

A CronJob uses a PodTemplate as everything else based on Pods and can use Volumes. You placed your Volume specification directly in the CronJobSpec instead of the PodSpec, use it like this:

apiVersion: batch/v1beta1
kind: CronJob
metadata:
  name: update-db
spec:
  schedule: "*/1 * * * *"
  jobTemplate:
    spec:
      template:
        spec:
          containers:
          - name: update-fingerprints
            image: python:3.6.2-slim
            command: ["/bin/bash"]
            args: ["-c", "python /client/test.py"]
            volumeMounts:
            - name: application-code
              mountPath: /where/ever
          restartPolicy: OnFailure
          volumes:
          - name: application-code
            persistentVolumeClaim:
              claimName: application-code-pv-claim