Yes. I don't know how common the jobs are, but at both my medical school and my residency, they have said jobs available. The one at my Med school was a standard 8-5ish job that rotated between 2-3 different attendings, and I think one might have preceptor in clinic as well one day per week and one was a hospitalist the other portion of the time (small peds program).
At my residency, the neo group hires general pediatricians to work in the local level 1-2 nurseries (low level 2, like bili lights and sepsis evaluations with late preterm babies). Their model is 8 24-hour shifts per month for a full time person. The vast majority of the time, you get plenty of sleep on the shift. They round and attend deliveries. The pay sucks compared to an outpatient job, but there are lots of people who do it.