Yes. I live in a town of 700 in a rural area in the north east of Vermont. I live on one of the only paved roads in town and have cable internet but a lot of the town relies on either 4G internet, wireless internet to the local tower if they have line of site or DSL. It's definitely a consideration when looking for a place to live.
We have 24 layer chickens and have raised pigs, sheep and meat birds in the past. There are many opportunities to be involved in the local community from the local library, to the school PTF, the historical society or the town selectboard. You do have to drive everywhere, but there's never any traffic.
We are looking to move to the outskirts of a "bigger" town[0] because we love hiking and want to be closer to the mountains and be closer than 20 minutes from a grocery store.