I'm extremely interested in starting archery, but is it still possible for me to do so with Duane's syndrome?

Meaning that my left eye cannot move left; my right eye is normal though. (This isn't me, but here's an example of what happens when my eyes look left: http://s3.hubimg.com/u/821146_f260.jpg)

So I don't know how this will affect my head and arm positions. Also I'm right-handed.