No, eggs aren't plants I'm afraid. The name “eggplant” came from how the first varieties of the fruit were actually egg-shaped. It is known as aubergine in the UK and my home country Ireland.
PUMPKINS, TOMATOES, PEPPERS, AUBERGINES (KNOWN AS EGGPLANTS), CUCUMBERS, OLIVES AND SQUASHES ARE ACTUALLY FRUITS BECAUSE THEY HAVE SEEDS. SO I'LL SEE YOU NEXT TIME, FOLKS!