Yes, there have been few well-known actresses in Hollywood who actually belongs to India. These Indian origin actresses earned their name in Hollywood and did good job there.
Only few of these were actually born and grew in India. Most of these have their Indian origin parents.
10 Indian Origin Hollywood Actresses
Here is the list of Indian Origin Hollywood Actresses.
Archie Panjabi is best known for her role as Kalinda Sharma in the Good Wife. She was born in London to a Sindhi Hindu immigrant parents from India.