Can there be a correlation? Perhaps, according to this retrospective study:
Compared with patients who had private insurance coverage, those on Medicare were 14 percent more likely to have a burst appendix, people on Medicaid were 22 percent more likely, and those with no insurance at all were 18 percent more likely to have a rupture. The differences persisted even after controlling for age, sex, socioeconomic status, type of hospital and other factors.