it's not impossible....just hard. I have tendonitis in my wrists because of computers/drawing too much. But Im an animator so I have to deal with it. If it hurts, dont do it cause it'll get worse.
I type with splints every now and then, though depending on the splint it could be hard I guess.
Here's what I suggest without kowing anything about your situation....Dont use your thumb on your right hand no matter what. Or your pinky. those are the fingers that seem to hurt the most..
Hope it helps, and I hope you recover soon.