A recently inhabited planet revolves around its sun but does not spin on its axis. This causes the daylight cycle to happen over the course of an entire year (Note that this is different from the planet being tidally locked to its star, as there still is a slow daylight cycle.) The side facing the sun becomes superheated, while the opposite side remains extremely cold. Because this planet was recently inhabited, the residents don't have large-scale establishments, partially because they must continue traversing their way around the planet so as to stay in the small habitable zone. They travel in vehicles with rooftop gardens where they produce their food and plant-based fuel.
Presuming there is sufficient oxygen, enough bodies of water, and that the planet is close to the size of Earth, would there be any fundamental problems with a civilization attempting to lead this way of life? If so, are there also reasonable ways for this society to build permanent establishments and thrive on this planet? If not, what aspects of the planet would need to change to support at least some amount of sentient life?