No, in America we distinguish between “preserves” (berries left whole, except for those that fall apart by themselves, or big chunks of peach or whatnot) “jam” (fruit is mashed, usually has the seeds but can be pushed and scraped through a strainer to remove them, but the pulp remains part of the finished product) and “jelly” (fruit is either juiced and double-strained /filtered before cooking or afterwards, finished product is transparent).

I’m pretty sure those categories are legal, and probably include percentages of fruit to sugar and water for commercial products, because they’re consistent in labeling at the grocery store.