I am not sure Jerry, I don't think so. I know the 2LT does have the red stitching with the Adrenaline red interior any where there is black leather. So the top of the doors, the dash and the steering wheel. Here is what it looks like on my car
"Jsvette" is correct, that you have to go the the 2LT Adrenaline Red interior in order to get red stitching. On the 1LT Adrenaline Red interior, the stitching is gray everywhere except on the seats themselves, as per the picture below.
You can also see the gray stitching in the dash, steering wheel, etc. if you go to Chevy's "build your own StingRay" web site, select the 1LT red interior and "expand" the picture.