can i get highlights done a couple days after i box bleach my hair?

I have black box dyed hair and I want to lighten my hair to a lighter brown using box dye. After i lighten my hair using the box dye, is it possible for me to go to my stylist a couple days later to get highlights like this colour without my hair being too damaged? Will the colour lift?

I have black box dyed hair and I want to lighten my hair to a lighter brown using box dye. After i lighten my hair using the box dye, is it possible for me to go to my stylist a couple days later to get highlights like this colour without my hair being too damaged? Will the colour lift?