Can ovarin cysts cause blood in feces?

No. This would be unlikely. Ovarian cysts are their own thing. One caveat, some women with severe endometriosis (uterine tissue that is not in the uterus but still cycles and bleeds each month) can have tissue in the rectum that bleeds too. That is not something to guess about though. You may need a colonoscopy to sort this out. Don't wait to go in and get checked by your doctor.