Can I get my canine teeth removed?

All four of my canine teeth are not in line and over lap. The top two are so high up near the bottom of my nose. I waited a year for a phone call from Mass Health and the assholes never called me to approve my braces. I'm enlisting in the Marine Corps next Summer and i'm not going in with braces and I know my teeth would need braces for a long time to fix my canine teeth, so would I be able to just get them pulled and have braces on before I enlist to fix the teeth that are slightly crooked because of the canine teeth. ( they aren't that crooked besides the canines )