The expression 'there is no way' is used to say that something is impossible or cannot be done. It can also be used to say 'no' forcefully, leaving no doubt about your feelings. If you say 'no way on earth' it is an exaggeration or hyperbolic way of stressing that something cannot be done or that you have very strong feelings against something. 

1. Fiona hasn't done any revision and has missed most of her classes this semester. There's absolutely no way on earth she is going to pass her exams.
2. My friend asked me if I would ever go bungee jumping. I told her there was no way on earth I could ever do something that crazy.

1. There is no way on earth that I will rehire you after the way you left me in the lurch when you quit! You have burned your bridges here.
2. Frank's CV is pretty sparse and he isn't very eloquent. I don't think there's any way on earth he can pass the job interview.