I know that a few people have considered doing something like this. I don't see any reason why it couldn't be done (cost and limited application are certainly factors that would deter most) Mapping the entire genome is a serious undertaking that not just anyone can do. Results will be slow for sure (at least at first) and you will need to have a large sample size of all morphs that you want to work with.
Yes it is possible to see a difference but it probably isn't as black and white as you would expect. To ID the exact differences you will need to have a huge sample of each morph and then you will have to find what is consistently different in a morph vs other morphs/normals Keep in mind that it took 13 years to do this in the human genome project (with world class scientists and a big government budget)
Personally unless this would be part of a project with a known company/university I would look for something else. Individual research at the level you are talking about is extremely difficult and chances are it will be hard to get people to take you seriously at your age. To be honest it probably won't do much towards getting you into Stanford anyway. (It's really too late at this point if you are already a junior)
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