No. Prunus amygdalus (or Prunus amygdala) is simply the botanical name of the almond tree. It is not the “wish‑fulfilling tree” (Kalpavriksha) described in Jain scriptures.

In Jainism:

• Kalpavriksha (Kalpavruksha) means a divine wish‑fulfilling tree that appears in the early happy eras and bhogabhumi regions of the time‑cycle, where it naturally provides food, clothes, ornaments, houses, light, etc. without effort. ( jainknowledge.com)
• It is a mythic, celestial category of trees, not identified with a specific modern species like almond, mango, etc.
• Kalpavriksha is also used symbolically, e.g. as the emblem of Bhagwan Shitalnath (10th Tirthankar). ( jainknowledge.com)

So: Prunus amygdalus = ordinary almond tree (botanical) Kalpavriksha = Jain wish‑fulfilling tree (scriptural/celestial concept)

They are not the same.

You can read a simple explanation of Kalpavriksha in Jainism here: