Interesting hypothetical, and I will not claim to be an expert but I will offer my thoughts.
After a bit of research I was able to find that there is evidence showing that the Chicxulub impact (dinosaur killer) was about a kilometer high (about 2/3 of a mile). That was a massive impact. Mt. Everest is several miles high, and anything big enough to create a wave that high would likely tear the Earth apart.
I do not think that it would be possible. Would be neat to see though.