Yes. This is a common wrong view. I have a relative, who is a physician, and tells me that if she is to be born a dog, then it is that dog who will suffer, and not her.
– I have heard basically the same argument from several others, most of them are scientists!
In this regard, there are some pretas (hungry ghosts) who naturally remember their past lives as a part of their kamma vipaka. They know exactly what they had done to be born a preta.
– I don’t remember the name of the sutta, but one time Ven. Sariputta was approached by a female preta. She told him that she was his mother in a previous life, and asked for his help in getting out of her suffering. Ven. Sariputta confirmed her account and did help her.