Sort of but not really. Lilith isn't in the biblical version of Adam and Eve. There might be one mention of Lilith in and unrelated story in Isaiah, or it might be an old Hebrew word for screech owl.

The connection to Adam comes from folktales and fanfics written 1,000 years later. In terms of biblical tradition, she's closer to Steve than Adam.

The Bible does a fine job of demonizing women, starting with Eve. But Christians don't need a scriptural reason to demonize something they can't control.