It happens, in the rural diocese in Africa that I go to, it is not uncommon for consecrated hosts to be sent to a parish outstation on a regular basis.
So they have lay lead communion services at times where a priest is not available.
That said, the priest would be there at least monthly to baptize and witness weddings. The priest might be 4 hours away via bike and can only cover so many outstations at a given time.
On my first trip last year ( I went twice), my pastor was asked to cover an outstation. While he was out there, he baptized 40, confirmed 2 and witnessed the marriage of 4 couples.
That said, that is semi remote, I imagine that there are locations, even in the US, that can be reached only by plane, and I can see those areas seeing a priest even more infrequently than the monthly visits to the outstations in Tanzania.
But even then, Holy communion can be brought in via by any lay person on any inbound flight, so it would always be available.