No Pokémon are not capable of evolving while the Daycare Couple are taking care of your Pokémon you will need to take them out of the Daycare in order to evolve your Pokémon.
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Your Pokemon cannot evolve while in the Day Care.
Rhydon cannot evolve in Pokemon Silver/Gold/Crystal.
No, Yanma does not evolve in Pokémon Gold.
When it likes you. This is one of the Pokemon that evolve through friendship.
Farfetch'd does not evolve in Pokemon HeartGold. Sorry! :)