I believe so. The wavelets due to huygen's principle can still propagate at the edges of the hair. Do the wavelets propagate horizontally around the vertical hair? It just confuses because single slit oriented vertically produce vertical patterns. But hair doesn't and I am told it acts similar to a single slit.
Yes, the wavelets starts to propagate at every possible directions at the edges of the hair. The picture shows the hair and wavelets from above.
If you use a laser light, its image is dot-like on the screen, and all diffracted images are dot-like so the pattern is a horizontal arrangement of dots. If the light source is a vertical filament or a slit illuminated with an extended source, the pattern consist of vertical lines.