Jupiter is suspected of having a solid core, hidden under layers of gaseous and liquid hydrogen, so if your chopsticks do not melt under the intense heat, about 24000 °C, you could pick it up.
You could but you would then have a trail of Jupiter’s moons following in its wake and spilling down your shirt front. It happens when you show off with chopsticks.
@flutherother I got the question last night in a dream. I wonder about weird stuff all night. Fluther is a godsend. It’s not a leverage question, but rather a center of Jupiter question.