No, that's what my car is for. You can't drive your cybertruck when it's running your refrigerator. Wrong tool for the job.
The power being delivered on wheels that go with you is the whole point. A permanently affixed generator doesn't help get power out into the middle of the field when I need to do things like weld farm equipment. There are plenty of solutions out there, but the power source and truck carrying the tools being one and the same would be quite attractive if the aforementioned problems were solved.
What if they also made the cybertruck capable of refrigeration.
It is an emergency. I'll compromise in an emergency. My fridge can sit unpowered for a couple hours while I'm driving, and that is all I need to drive anyway.
If there is a major outage most bosses understand that you won't be working normally because you need to deal with the emergency.