Alright maybe not the feasting part.
Bloody Fist (Ex) (Demon Hunter's Handbook pg. 8): While raging, the barbarian may attempt to punch through an opponent’s flesh and rip out one of its vital organs. In order to do so, the barbarian must confirm a critical hit against an opponent with a natural attack or unarmed strike. The barbarian deals damage as normal for a critical hit and the opponent must succeed at a Fortitude save (DC = 10 + 1/2 the barbarian’s class level + the barbarian’s Strength modifier) or take 1d4 points of Constitution damage as one of its vital organs is ripped free from its body. This power can only be used once per rage. A barbarian must be at least 12th level to select this rage power.
Perfectly legal. Strangely taking out the heart does not kill the target, just does minor CON damage.
Not legal part is stage 2, the second rage power in the chain.
Feast of Blood (Su) (Demon Hunter's Handbook pg. 8): While raging, the barbarian may feast on the organs of her foes and absorb their power. After successfully ripping out a creature’s vital organ, the barbarian may eat the organ within 1 minute of extracting it as a full-round action that provokes attacks of opportunity. Once the organ is consumed, the barbarian recovers a number of hit points equal to the Hit Dice of the organ’s owner. In addition, the barbarian gains any energy immunities or resistances the victim had, though the effectiveness of these resistances is halved (for instance, a barbarian who eats the heart of a creature with resist cold 10 would gain resist cold 5; energy immunities are reduced to resist energy 20). This energy resistance lasts for a number of rounds equal to half the Hit Dice of the creature whose organ was consumed. A barbarian must have the bloody fist rage power to select this rage power. A barbarian must be at least 14th level to select this rage power.