Yes, I think it's possible to recover from an unhappy or abusive childhood; it's not easy, may take a long time but, I think if you're determined to live a different, better life, it's possible. I wasn't physically abused but my mother made it perfectly clear at every opportunity that she disliked me at all; her regular put down; always said in an icy tone was "you're just like your bloody father". When I got married she told my husband that he had no idea what he was letting himself in for and she wished him good luck; he'd need it. Nevertheless I continued to try to buy her affection; gifts, treats or days out to places I thought she'd enjoy but there was always something I hadn't got right and I'd try harder and harder to please her.
One Christmas Eve, when my youngest child was 8 years old and had just been discharged from hospital following another severe asthma attack, we explained that we couldn't attend my mother's usual family gathering (cold night air and a family of smokers not being the best for an asthmatic). No offers of sympathy or enquiries as to her grandchild's health were made but I was told that my selfishness had ruined Christmas for everyone. A few days after Christmas, a letter arrived, addressed to both of my children. It was from her. She had written to tell them that she was very sorry that their mummy had spoilt their Christmas by not letting them receive the very special presents that had been left for them at her house but, if they ever decided that they wanted them, they could call her and she'd come and get them. My children were 8 and 10 at that time and were so angry that they said they didn't want to see their granny anymore. But I papered over the cracks, continued to try and be the daughter she wanted for another 10 years. It was only when my father was dying, and something that she said to me about him, that I finally saw her as the cold, cruel, heartless bitch that she was. I quietly stood up, put my coat on, walked out and never looked back. I ignored all her letters, calls, bouquets of flowers and via family members demands to go back. I left it up to my children to make their own decisions as to whether they continued to have any relationship with her and they chose not to. That was 25 years ago and I've no idea whether she's alive or dead; I don't care either way.
So have I recovered? Yes, I think so. She only enters my consciousness when I see articles like this one and I feel relieved that I ended the cycle; my relationship with my husband, my children and my grandchildren is nothing like hers and that's something I'm proud of.