Will a chemical peel help with dark lips due to smoking? (Photo)

It's doubtful a chemical peel will change the color of the lips. I suggest a formal consultation and then proceed with the best fit.Best wishes, Dr. ALDO 

First, congratulations on quitting smoking!!!!!!
It is difficult to evaluate from the limited photo. However, chemical peels will not change the pigmentation/coloring of your lips. There may be treatments available to improve you condition. Consult with a dermatologist.

The photo does not provide enough information to answer the question. I have had some good results with lip discoloration using the NdYag laser ( Lightpod by Aerolase). Please visit a dermatologist in person to get the best option for your lips. CONGRATULATIONS  on stopping smoking, which is one of the best things you can do for yourself and your family!!!