No where in the description does it infer you can:
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.
Which is a shame, I wish the Knight of the Sepulcher had added that ability as part of its write up.
Can an undead antipaladin sue touch of corruption on himself as a swift action in the same way a paladin can use lay on hands on himself?
RAW no. However, an undead paladin can heal himself as a swift action with his LoH.