probably not. You may be able to take the discover scuba course, but you are not licensed after that. For the "Real" course, you need to be able to tread water (i think it was 20 minutes) and swim (i think it was for 200 meters).

If you can't swim, it can be a real safety issue. In Thailand one time, I had to be in the water for almost 60 minutes on the surface waiting for a pickup.