My sister says she has acute angle closure glaucoma. Are family members more likely to get the same thing?

Can run in families. Yes. Angle closure glaucoma is more common in asians, women, older patients, and far-sighted patients. Family history of angle closure glaucoma is also a risk factor. You should be seen by an eye doctor to decide if you are at risk for angle closure glaucoma.
Runs in families. Yes, there is a genetic or familial component to angle closure glaucoma, because the shallow or occludable angles tend to run in families.