Yes, especially now that organic food is big business. Now there are factory organic farms in the US. They may be marginally better than most factory farms but they do depart from the spirit of organic if not its legal definition.
I would far rather buy non-organic produce from small local farms than organic produce grown at distant large scale farms.
Natural means even less. Very little we eat is even close to its unadulterated natural state. While there are some regulations on the use of "natural" it is largely a marketing term.
Natural seems to mostly be a justification for large amounts of sugar and other natural things that arnt exactly healthy. There are so many brands of "all natural" confectionary. Gullible people think this makes them healthy.
Organic foods are made in a way that limits the use of synthetic materials during production
Food that has undergone a minimum of processing or treatment with preservatives.
That strongly depends on the regulations for food packaging / advertizing in your country.