Is Lucy Sam's own daughter in the movie I'm Sam?

In the movie I am Sam, is Lucy Sam's own daughter?

At the end of the movie "I am Sam", Lucy's adoptive parents were finally moved by the love between Sam and Lucy. They agreed to give in, and Sam finally got custody of Lucy, in fact, joint custody.

I am Sam is a drama film directed by Jessie Nelson, starring Sean Penn, Dakota Fanning and michelle pfeiffer. It tells the story of a father whose IQ is only equivalent to that of a seven-year-old child, who competes with the relevant authorities for the custody of his daughter.

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Sam (Sean Penn) is a mentally retarded person who works in Starbucks coffee shop.

By chance, he took in a homeless woman and gave birth to a daughter with her. However, as soon as the daughter was born, the mother left without saying goodbye, leaving Sam and the little girl alone.

Sam named his daughter Lucy (Dakota Fanning) because he especially liked The Beatles's song Lucy with Diamonds in the Sky. With the help of a group of friends with mental disorders, Sam raised his daughter alone. Although there are always some mistakes, she lives happily.

Lucy grew up smoothly, not only beautiful, but also smart. Although only seven years old, her intelligence has surpassed that of Sam, and Sam has been unable to cope with many questions raised by her daughter. Clever Lucy deliberately accommodated her father's intelligence level in order not to grieve her father, which is obviously not conducive to Lucy's intellectual and emotional development.

This special father and daughter attracted the attention of social workers. They thought that Sam was not suitable for raising Lucy, took Lucy away from him, and found a normal couple as adoptive parents for her. Sam doesn't want to lose his daughter like this, so he decides to hire a female lawyer Rita (michelle pfeiffer) to help him fight for custody.