Check out the 4 key metrics from Accelerate - deployment frequency, lead time, change rate failure and mean time to recovery. This is good for teams. IMHO, tracking productivity for individuals is irrelevant.
This looks good, do you use any tools to keep track of these?
I don't think anything exists out of the box unfortunately. You should be able to start tracking them manually as a starting point. Do read the book (Accelerate by Dr Nicole Forsgren) for more information about why these are important.
I started putting PR/deployment data in Elasticsearch and configured a Kibana dashboard to visualize it.