That depends very much how recently you joined prior to causing someone to have a voting vendetta against you. If you don't have a lot of points and your up against someone who does you've got no chance.
No, that is complete and utter nonsense, the math just doesn't add up. See Voting/Experience System
For practicaly demonstration visit Worst Nodes. Some posters would end up there every day, and most of them still maintained a positive reputation. It takes a special brand of troll to remain in negative digits.