I suggest you just find out:
Grab a normal 30 deg offset paddle. Most all offset paddles are "right hand control," so this is good for you!
Sit in a chair and practice doing some foward strokes, some draws, sweeps, what have you.
You can change the angle of the paddle by holding with your right hand and rotating it through the left fingers.
You will quickly see what you can and cannot do. If that paddle doesn't work, try a different one. Of course a skulling draw/brace on the left side might be impossible, but more basic strokes might be doable with some new muscle memory.