It is known that Paladins can heal themselves with a Swift Action:
Lay On Hands (Su)
Beginning at 2nd level, a paladin can heal wounds (her own or those of others) by touch. Each day she can use this ability a number of times equal to 1/2 her paladin level plus her Charisma modifier. With one use of this ability, a paladin can heal 1d6 hit points of damage for every two paladin levels she possesses. Using this ability is a standard action, unless the paladin targets herself, in which case it is a swift action. Despite the name of this ability, a paladin only needs one free hand to use this ability.
Alternatively, a paladin can use this healing power to deal damage to undead creatures, dealing 1d6 points of damage for every two levels the paladin possesses. Using lay on hands in this way requires a successful melee touch attack and doesn’t provoke an attack of opportunity. Undead do not receive a saving throw against this damage.
Could a Dhampir Antipaladin cast Touch of Corruption to ‘heal’ himself with a Swift Action as well? And if there is not rules-as-written for this, would it be fair?
Touch of Corruption (Su)
Beginning at 2nd level, an antipaladin surrounds his hand with a fiendish flame, causing terrible wounds to open on those he touches. Each day he can use this ability a number of times equal to 1/2 his antipaladin level + his Charisma modifier. As a touch attack, an antipaladin can cause 1d6 points of damage for every two antipaladin levels he possesses. Using this ability is a standard action that does not provoke attacks of opportunity.
Alternatively, an antipaladin can use this power to heal undead creatures, restoring 1d6 hit points for every two levels the antipaladin possesses. This ability is modified by any feat, spell, or effect that specifically works with the lay on hands paladin class feature. For example, the Extra Lay On Hands feat grants an antipaladin 2 additional uses of the touch of corruption class feature.