Can grapes grow and produce on a chain link fence?
As the grape plant is a type of vine, they'll grow well on a fence.
Grape vines will grow in most parts of the UK. However being able to grow a grape vine does not guarantee that the vine will actually produce grapes; personally I've had a vine in a warm place in the garden for about 7 years; no grapes or even flowers so far. It seems to be the more "tropical" parts of the UK in which grape vines will produce grapes - the Cornwall etc... regions. Alternatively…
No, they do not. No grapes are grown in the Amazon rainforest. They are grown in vineyards. Two South American countries are well known for growing grapes to produce famous wines, those are Chile and Argentina. Grapes are unable to grow in the Amazon rainforest because there is not enough light due to the canopy. They are grown in vast fields called vineyards.