Is it scientifically possible for a 17 year old girl to grow taller?

It depends: Upon whether she has completed puberty or not. A bone age xray can tell you if she still has the potential for further bone growth. This usually ends after maturation and menstration.

Groth: An adolescent girl will grow up to 5 years after starting to have periods and periods can start up to age 17. Thus the average girl gets a period at 12 and stops by 17 but a late girl starts at 17 and ends at 21. So bottom line. Yes.

Depends: Linear growth relies on growth centers in the bone that are open to new growth.The changes of puberty both accelerate growth and influence those centers to finish and close. Women usually gain another 2-3 inches after their first menses before stopping. An x-ray of the wrist/hand can be studied for open growth centers. If open, more growth is possible, if closed, it is finished.