Can I improve my SAT score?

I just graduated high school, and now I have plans to go into the Air Force. I took the SAT and scored like a 1600, I got like a 500 in cr 540 in math and 560 in writing. I only plan to be in the Air Force for 4 years, so I was thinking I could take classes that could help me score higher on the SAT, and use my free time to read to improve my vocabulary and my comprehension. I want to get my score up to an 1800–2000, but do you guys think I could get enough practice in 4 years to get these kind of scores, and what method do you guys have that I could follow to get my scores up. I know the average scores range from 1500–1600 but I want a higher score so I can get into a good University when I get out of the Air Force.