There are also plenty of atypical jobs out there. You just have to be a right mix of willing and lucky to get them. I met a guy who started in college with a track scholarship... couldn't find a major he liked so he dropped out and became a tour guide at Disney World. Then, he decided he wanted to travel so he became a flight attendant. After he got bored with that, he got into construction and that is what he has done for the past 10 years. There are so many jobs that just want a degree... it doesn't matter what it is in. My girlfriend has a liberal arts degree with a focus in feminism... her first job out of college? Banker... then she went back to school to get certified as a paralegal and works as a paralegal now.
Now, progamer is fine if you can make it, but it is far from your only option if you want something more "interesting".
Also, I think your choice in game was a poor one. Not specifically because of the game... LoL is a good and successful game, but your reasoning (it has the largest money pools) is a poor one. You have to be passionate about the game. Also, in my (limited) experience it has the least to do with skill when it comes down to becoming pro. The top players/teams are not always the best skill-wise. It is all about team synergy. There are a lot challenger players that are really high skill, but have not become pro because they don't work well with other teammates or something along those lines.