Is it possible for klebsiella pneumonia to result in hemolysis?

Yes. Sometimes after an infection the body may begin to make antibodies (proteins ordinarily aimed at foreign invaders like germs) against the red blood cells. This can result in hemolysis. It is more common in other kinds of infections but can be seen after klebsiella. Ordinarily it will gradually get better, but may require treatment like anti-inflammatory medicines for example steroids.