The organism you're describing is likely prickly pear cactus (also known as Opuntia).

Here's why:

* Prickly Vine: Prickly pear cactus grows on prickly vines (called pads).

* Used to make jam: The fruit of the prickly pear cactus, called a "tuna" or "prickly pear", is often used to make jams, jellies, and other sweet treats.

Let me know if you'd like to know more about prickly pear cactus!