If a cherry popped and her partner climax is it possible that she can pregnant?

There is no such thing as "popping a cherry." The hymen, a thin membrane that can partially or completely cover the opening of the vagina, can be stretched or torn during vaginal intercourse, but this does not necessarily indicate that a person has lost their virginity or is pregnant.

Pregnancy occurs when a sperm fertilizes an egg. For fertilization to occur, sperm must come into contact with an egg that has been released from one of the ovaries (ovulation) during the menstrual cycle. Intercourse that leads to ejaculation inside the vagina can result in pregnancy, regardless of whether a person's hymen is intact or not. It's important for sexually active individuals to use reliable contraception, such as condoms or hormonal birth control, to prevent unintended pregnancy.