If you have a sump pump in your house/basement, does it mean you have (or potentially could have) a flooding problem?
Yes, generally you'll have a sump pump if the water table could reasonably rise to the level of the bottom of the basement.
The sump pump is most often used in combination with a drainage system around the foundation that directs water into a "sump pit". The sump pump then pumps water out of the sump pit once it rises to a certain level. If you have city sewer service, the water is usually pumped into the sewer system. If not, it's usually just pumped up through a PVC pipe and out into the yard.