No, but right out of High School, they are too small and unskilled to play professionaly. Also, they need to college team to show how their skills match up to the rest of the best from around the world.
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This list is way to long to actually make. If you can imagine a player before being eligible for the NFL must be removed from high school 3+ years, meaning practically all NFL players played at least 3 years of College Football, with a large majority playing 4-5 years (depending on redshirts). So they would more then likely have finished their academics receiving a degree
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There are many nfl players with graduate degrees. Unfortunately, it is tough to find who they are. Here is a blog entry that talks about 8 current and former NFL players with graduate degrees.
http://www.collegeconsensus.com/blog/?p=105