No, Natasha Lyonne did not play in the movie Twilight.
Lyonne, born on April 9, 1979, worked as a child actress on projects like Heartburn and Pee-wee’s Playhouse before landing a role in Woody Allen’s Everyone Says I Love You.
More film projects followed, including Slums of Beverly Hills and American Pie, but Lyonne was eventually waylaid by major personal issues, including drug abuse, criminal charges and extended hospitalization. She took time to recover before taking on stage work and returning to the screen.
She debuted as part of the cast of prison dramedy Orange Is the New Black in 2013, receiving her first Emmy nomination for her work the following year. See more at Biography.com
You can see a comprehensive list of Natasha Lyonne's filmography on IMDb.com.
Of interest, Seventeen shares 12 Things to Know About Twilight.