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No, but he does TRY to kill her when he gets back by strangling her.
The capitol trys to kill him but instead they erased his memory
He tells Katniss to kill him, but she can't. Instead, she grabs the red poisonous berries, Nightlock, that killed Foxface and Peeta catches on. They are about to eat the berries when Claudius announces that there are two winners: Katniss Everdeen and Peeta Mellark.
because he ganged up with the carrers
He tries to kill Katniss after the Capital brainwashes him in Mockingjay.
Snow wanted to kill Katniss to prevent a rebellion.
Peeta didn't really kill Foxface, or at least not intentionally. Both Peeta and Foxface didn't know that the berries they found were poisonous and Foxface saw Peeta grab some, so she assumed they were safe and she ate them. Peeta didn't eat them because Katniss told him that they were poisonous
Peeta Mellark accidentally killed the tribute known as fox-face. they didnt ever tell the girls name. He was picking berries for food when fox-face stole some berries. What Peeta and fox-face didnt know is that the berries were poisonous. it killed her before she could get very far.
She doesnt know why Haymitch is making them match. She doesnt want to become attached to Peeta before the Games then have to kill him.
Their trust, and ultimately a little more time for Katniss.
Peeta becomes mentally unstable because he was tortured. His memories were hijacked, so he can't remember which memory is real. The Capital made Katniss seem like the enemy, so that's why he tries to kill her.