I would say a food processor, even a rechargeable one, would fall under the following prohibited items:
- Electrical appliances such as rice cookers, hot plates, coffee makers, blenders, electric irons, electric blankets, heating pads, bottle sterilizers and warmers
I've read reports of the kitchen pureeing food for guests who need it. I'm assuming you are asking about the kitchen blending food produced by them and not food you are carrying on, which is a whole different issue.