Yes. However, "dyed" means "changed in color by using a dye" (e.g. "He dyed his gray hair brown"). "Match" means matching in color. So it almost sounds as if the cloche was originally a different color as the frock, and she had it dyed... to match. I think, once again, that this is a 1940s cultural reference and I'm not sure I understand it. But it suggests to me that she was a person who paid attention to dress, and liked to wear unusual colors and was willing to take the trouble to have things "dyed to match."