Can a single woman who gives birth, after lying to the man that she cannot get pregnant, and then refuses to have an abortion,file him for child maintenance?

Yes! A man proved to be the biological father of a child, even if the pregnancy was unintentional and unwanted, on his part, and he was ‘tricked’ into becoming a father, is liable to support the minor. Under Israeli law a man must bear the full consequences of sexual intercourse with a woman,including the financial burden of supporting an 'unwanted' child. Where the mother is single, the court usually orders D.N.A. testing to establish paternity, if it is denied.