This concept (no resistance) is one of much scientific research. Scientists are trying to develop a super-conductor, a conductor with no resistane. These super-conductors were once only possible at absolute zero (-273C), as mentioned by Styx. However super-conductors are being developed that operate at temperatures higher than this.
As for the original question, well I really don't know. If the resistance is 0 ohms, then the voltage would also be 0 volts and the current could be anything upto infinite.