Not exactly, no.
As Ronin said, Johnny is a descendant of a cult of warriors blessed by the gods which gave them special powers.
Jade, however, is an Edenian. Edenians have a natural affinity to magic, because they are direct descendants of gods themselves, which is also why they can live for millennia. The magic is different from person to person. For example, Kitana has wind-like abilities, Sindel can make super-sonic screams and fly, while Jade can infuse her body with some kind of kinetic energy which enhances her speed, giving her some extra power behind those glowing kicks of hers and making her move through projectiles without getting hurt.
The divine power Jade has inherited from the gods could however be alike the power Johnny's bloodline was blessed with, but there's no canon connection between them. Only speculation and theories.