Yes!
The Internet is full of advice recommending that you don’t dye your hair while pregnant, at least in the first trimester. This is born out of ignorance and a fear of everything during the first trimester. There is no scientific data that says that dying your hair is associated with any adverse problems, even in the first trimester. If you think about it, most female beauticians and hair stylists also become pregnant at some time, and they are exposed to these chemicals hundreds or thousands of times more than what you are exposed to when getting your hair dyed. We don’t recommend to those women that they should change their occupation while pregnant.