Is there a fruit called a jasmine fruit?

Answer 1

Sure.

Any "jasmine" that produces fruit (and I think they all do) would produce a fruit called a "jasmine fruit".

There are a number of plants called (in layman's terms) jasmine, including: 'orange jasmine' (Murraya paniculata), 'itallian jasmine' (Jasminum humile), "Arabian jasmine" (Jasminum sambac),... They are all flowering plants with fragrant flowers. Flowering plants (after pollenation) produce fruits.

Note that what laymen call "jasmine" encompasses more than one genus (above we see Jasminium, and Murraya (Murraya also has "Curry Leaf" (Murraya koenigii)).

Jasmine flowers (from some of the different types of jasmine) are added to some teas. Some of the fruiting jasmines have edible fruits and others non-edible.