I'm pretty sure it can. An infection can spread from your mouth to the rest of your body. I would get that infected tooth looked at as soon as you can. Fun fact; there is evidence that shows that bad oral hygiene may be directly connected do Alzheimer's disease.
A tooth infection can cause death if the bacteria reaches the heart - in the TV show NYPD Blue, that is how they wrote a main character off the show (Jimmy Smits)