She's financially independent from her parents.

Literal

She [topic-は] parents [from-から] economically is-self-reliant.

経済的に (けいざいてきに, 'economically, financially') uses the productive ~的に suffix to turn 経済 ('economy') into an adverb. 自立する (じりつする, 'to be independent, self-reliant') takes から to mark what one is independent from. The ~ている form indicates this is an established, ongoing state rather than a recent change.