We may have telepathy and not know it! The proof may be in The bible
In The Book of Genesis God takes away the ability for man to understand each other. He did this as a punishment. However if that was case what Language were they speaking when they could? Perhaps none!
The answer could be much simpler and other earthly creatures already do this. Have you ever seen you pets talk to each other? What about other animals? I dont mean growls or cries if hurt either. Chances are high you have not. If this is case how do they communicate? The answer may be telepathy! If animals do not actually speak to each other how us do they communicate? Animals talk to us but not each other!
Ok so if this is true its very likely we too have this ability and may still have. God took this away thousands of years ago and we created language with spoken word to communicate. There are people who do show signs or even this ability. Perhaps they learned to access this somehow? After all we know we use only a small portion of our brains. Yes we could all be telepathic and just not know how to access this. Why we cannot is explained in Bible. Just food for thought