Hello, and thanks for your question.
Yes, you should be able to carry a packaged bread pudding from a bakery on the plane in your carry-on luggage. However, if the bread pudding is in an aluminum (or any metal) container, going through x-ray on the conveyor belt at the screening point, it might beep, due to the metal, but if the bread pudding itself is seen to have nothing dangerous in it, they should let it through. The final decision is up to the TSA screener.
I don't think you should have a problem with this item.
Happy Holidays and have a wonderful trip!
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