Tames,
Yes you can draw it very quickly. And I mean VERY quickly.
Several methods to do this:
1) if it's a IWB appendix holster, use your off hand to grab the t-shirt upwards as your strong hand grabs the gun and draws. If you don't have two hands, just use the strong hand to raise the shirt and draw.
2) if behind the hip IWB and just a t-shirt, use the strong hand to raise the shirt above the gun, then use the elbow to keep the shirt there while the strong hand draws. It's quite quick when practiced.
3) If using a behind the hip IWB and a coat. have the strong hand go to the chest and wipe downwards and toward the gun. It will move the coat out of the way as your strong hand goes to the gun and draws.
And there are other ways!
Deaf
Sorry Deaf. I'm very well aware of all this. That wasn't the point of my post.