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That would depend where on Earth's crust you dug the hole! In some places with a two metre deep hole you wouldn't even get close to reaching the base of the soil layer, never mind reaching molten rock. In other places where there is active volcanism for example Hawaii or Iceland (for example on one of the solidifying lava flows which contain lava tubes which have molten lava running through them) it is possible that digging a hole would result in you encountering molten rock. However in the vast majority of locations it is unlikely that you would hit anything other than soil or solid (and very cool) rock at such shallow depths.

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Q: If you dug a hole two meters deep into the earth's surface would you find molten rock?
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