Yes it's Possible
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As a pitcher went through and did get first round first pick crazy
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Lucky. Best I've got so far was first round second pick...
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As a two-way player, I got drafted second overall but decided instead to enroll in college to play out the "three years." Then, led my team to the college national title, and then ended up getting drafted first overall. So, it can be done. I think this year your performance in high school, college and the MLB combine is factored far more heavily and your performance can make a big difference.