Can Ivy league make you leave after injury

As others have stated, “no longer able to play” will have no impact on your aid or any other aspect of remaining at the IL school. In fact it is fairly common that not all recruits will play all 4-years do to injuries, surgery or other reasons.
I would tell you and your parents not to worry about a school wanting you for a sport and not just for your GPA. With the IL and most top academic schools it is a combo of both your sport & GPA/grades, etc. The better your AI, the more opportunities.
I would embrace sports opening up opportunites for you but in the end, choose the school on the best fit for you and your family. In my opinion, athletics is an important part of the equation for a recruit but I give equal or even more weight to the other factors such as the school fit for you, the schools academic reputation, cost, etc.
Good luck!