Yes, we give you access to this data.
For example, the stats for my personal blog:
It could be pulled at build time. This might make sense if you build the Hugo site often enough, like daily, otherwise the counts will drift and appear stale.
I can alter the
stats.json schema to provide additional fields if needed in your implementation. I don't use Hugo myself so if you want to work on this, I'll hook you up with a Pro bono
Production Remarkbox account.