Technically the Poconos and the Catskills are a raised plateau cut and formed by glaciers. None of them are true mountains. So yes, elk, jack frost bellayere are technically the same geologic feature.
That being said, I live in carbon County and I don't consider myself to be in the poconos. I reserve that title for most of Monroe, pike and Wayne. I would call carbon and the West end of Monroe the western poconos.