The section of drip rail gutter above the door is welded to the roof and not removable like the section that is screwed to the A-pillar.
Some Novas had an optional bright stainless steel trim that snapped on over the outside of the drip rail. That is removable (using an old style can opener or other suitable tool to grip & pull out the bottom edge). But according to the 1970 Nova vehicle info kit from
The GM Heritage Center, that was only available on 4-door sedans in 1970.
However, I think the bright stainless drip rail trim was used on cars with a vinyl roof and may have been optional on other years of 3rd gen 2-doors. So you might possibly have this trim on your car, and if it's been painted over it might be hard to tell. One way to check would be to look at the joint where the removable A-pillar section meets up with the rest of the roof drip rail. On cars without the stainless trim, there will be a short (about 1" long) clip that covers the gap where the 2 pieces meet. On cars with the stainless trim, that trim covers the gap and eliminates the need for that little clip.