Is Telepathy Real...Can Thoughts Travel From one Brain to Another?

Is Telepathy real? Is telepathy possible? Can we, normal human beings communicate through our minds, via thought exchanges alone, without any device? Webster online dictionary defines telepathy as- "the supposed communication of thoughts and ideas by means other than the known senses." I am sure a great number of the people reading this have watched X-Men the movie, and know of the character, Professor X in the movie, and how he communicates with people through telepathy. But according to the movie, he is a mutant, and 'mutants' don't exist in the real world. So, the question still stands- Can normal human beings communicate through thoughts alone?