No, water is not lava, even if ice is considered a rock.
Here's why:
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Definition of Rock: A rock is a naturally occurring solid aggregate of one or more minerals. Ice, in its solid crystalline form, fits this definition. Therefore, considering ice a rock is scientifically plausible.
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Definition of Lava: Lava is molten rock that is expelled by a volcano during an eruption. It's characterized by its high temperature and specific chemical composition derived from the Earth's mantle or crust.
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Water vs. Lava: Water (H₂O) and lava are fundamentally different substances with vastly different chemical compositions, temperatures, and origins. Water is a chemical compound composed of hydrogen and oxygen, while lava is a complex mixture of molten minerals and gases. Changing the definition of a rock doesn't alter these fundamental differences. Water can exist in solid (ice), liquid (water), and gaseous (steam) states, but none of those states are akin to molten rock.
In summary, even if we accept the premise that ice is a rock, that doesn't make water lava because lava is defined by its molten state and specific chemical composition, neither of which apply to water.
