Originally, the Hargreeves kids were born under mysterious circumstances. In 1989, 43 women around the world gave birth to children at the same exact minute, despite none of them having been pregnant in the moments leading up to the fact. Of the seven we know of in Season 2, each of them has superpowers. Lila is one of those children, having been born under the same conditions.

Source: https://www.distractify.com/p/how-does-lila-have-powers-umbrella-academy