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The answer depends on the exact meaning of the question. Is the initial temperature the only difference between the two amounts of water that are being compared? What does "freeze faster" mean, exactly? Please be more specific when asking a question.
Other conditions being equal, the answer is commonly "No". This assumes that "faster" means "take less time to", "freeze" means "change to ice", and "hot" and "cold" are relative to the same scale.
If "freeze" meant just "become colder" and "faster" meant just "temperature drops faster", the answer would be "Yes".
For an idea of what "other conditions" might be, see "How long does it take a gallon of water to freeze".