If we define extrasensory perception as the ability to gain information by some means other than the ordinary senses, It is possible that in certain circumstances and certain people could do that. However, I don't think that all people can develop this ability without sensory input. I believe that there are some people gifted with this talent or ability. For example there were cases in which the police force called a medium to help them solve crimes and the information that they received was genuine.
