I say go for it. lol. If you make yourself the best, you'll find a job. If you want to do it, do it full steam ahead, and do it every day, and hone your skills and be able to blow people out of the water. Seriously, it's like any art type thing. There is honestly no great grade A actor who goes unnoticed and lives a life bagging groceries, unless it's his own damn fault. If he doesn't put himself out there, sure he won't do it. But if he does, and goes after things, he'll make it. No one is going to turn him down because Johnny Depp already exsists.
So thats my advice. Go for it. But only if you're the best graphic designer ever.