It'll learn Drill Peck at level 47.
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Nidorino Learns Horn Drill at level Level 53 but that is only in firered/leafgreen have you got a specific game?
It should learn Drill Peck at around level 58.
Unfortunately, Nidoking doesn't learn Horn Drill at all. In order to have your Nidoking learn Horn Drill, you'll need to level up your Nidorino to level 46 (you learn Horn Drill at that level) and then evolve it into a Nidoking.
It doesn't learn it at any level. Murkrow will not learn it.
In Pokémon LeafGreen, Geodude will learn Magnitude at Level 16.