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Yes, caffeine is a polar molecule.
As you can see from its structure here:
The Oxygen and Nitrogen molecules have a stronger polarity than Carbon, allowing them to slightly pull the electrons towards them in their covalent bond. This will give those atoms a slightly negative charge while giving the Carbon a positive charge. This is the exact definition of polarity itself.
A non-atomic way of figuring it out is by water solubility or oil solubility. Water is polar, oil is non-polar. Polar substances dissolve in each other and vice verse. Caffeine is water soluble.
Sources & further reading:Wikipedia
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