As a domain expert in Pokémon game mechanics, I can provide you with an accurate answer regarding the interaction between Dark and Psychic types.
In the Pokémon games, Dark-type moves are not immune to Psychic-type moves. In fact, Psychic-type moves are super effective against Dark-type Pokémon. This is because the type effectiveness chart established by the games dictates that Psychic-type moves are strong against Fighting and Poison types, and they are also strong against Dark types. The reason for this is that Dark-type Pokémon are often associated with malevolent or negative energy, which Psychic-type moves are portrayed as being able to counteract.
Therefore, if you're asking whether Dark-type Pokémon are immune to Psychic-type moves, the answer is no. They are not immune and will take increased damage from Psychic-type attacks.
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