Is there a possibility for a woman to lose their virginity even without undergoing sexual intercourse?

Yes, because accidents happen and that may result in a loss of virginity. Something as simple as falling off a bike or out of tree when young can cause this. Some people are also not born with a hymen.

Virginity means : Someone who has not had Sexual Intercourse. Falling out of trees or off bikes, although may break they Hymen - does not lose the female her virginity.