Can holy paladins kill retribution paladins

It is certainly possible, but difficult. Retribution paladins have a lot of burst damage and survival cooldowns, and holy paladins have a lot of burst healing and survival cooldowns. Neither would be able to run the other out of mana, and kiting would be useless. Retribution paladins would stun the holy paladin as they are casting their heals, hoping to kill them before they will be able to heal themselves again. Holy paladins would keep themselves alive for a while, hoping to kill the retribution paladins with Consecrate.

Chances for the holy paladin would be rather slim.