It's possible, and other's have basically already covered everything I could say, so to keep it short.

1. It needs to not conflict with the plot/RP. The character is basically unable to take part in what is going on (even with alternate means) it's basically a character that stops the RP outright. 

2. It should be a character where the representation is accurate, for example if you make a character with a broken arm he probably isn't going to be a good archer.

3. It shouldn't be a character that simply gains sympathy, everyone has difficulties and troubles. It how you overcome, work around them or live with them that makes them good characters. Not many many hearts or tears you get given to you.

4. It's not your entire character. You are not "Just the blind guy" anymore than someone else isn't "Just the computer guy", "Just the wizard" or "Just the sniper".