No, it is not possible for the two samples to be the same substance. Two samples of the same substance will always have the same density, as density is a characteristic property of a substance that is defined as mass divided by volume. If the masses and volumes of the two samples are not at all similar, it means their densities must also differ. Even if they react similarly with acids, the difference in density indicates that they are not the same substance.
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Two samples of solids have similar reactivity with acids and similar densities. Their masses and volumes, however are not at all similar. Is it possible that these are the same substance?
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