No. I've seen nothing that indicates new cars from Japan have been found to have any abnormal radiation levels. Know that you're exposed to radiation daily, from the dirt, air, the cosmic rays, medical xrays, and much more if you take an airplane for a trip. And that has no significant effect. So when you say 'any amount of radiation levels', well yes, they have the same amount of radiation levels as cars from other areas, which is nothing to worry about.
The only mention of this is about USED cars shipped from Japan. I would have no worry about a new car, nor are used Japanese cars shipped to the US (they don't meet our regs, steering wheel on the wrong side, etc.).