Yes.
In fact, the Royal Dutch Airforce instructor who taught the course on g exposure etc. (combined with the centrifuge session) noted that people with an unhealthy lifestyle and the resulting high blood pressure, were less susceptible to g effects than people who were really fit and healthy.
(On the other hand, the fit and healthy are more capable of performing the straining techniques that are required to keep the blood in your head, and are able to sustain these for a longer duration.)
And on a related note: I was once asked to fly aerobatics (LAROSA aerobatics, nothing serious, -1 to +4G maximum) with a girl who had a heart condition (leaky valves or something like that). I refused. And when I explained why, everybody understood and the issue was not pressed further.