Can you perform a laser carbon facial after Botox injections?

Hello, and thanks for your question.  It sounds like you are interested in having a CO2 laser resurfacing procedure after you have Botox injections.  Your first step should be to consult with a board-certified plastic surgeon.  The doctor can advise you as to whether a CO2 laser is the best treatment option for the results you seek.  
Whereas Botox is a temporary fix for wrinkles, CO2 laser resurfacing can provide a more long-term solution to reduce the appearance of fine lines and wrinkles.  In our practice many people have Botox either before or after a CO2 laser.  The CO2 laser works to resurface and regenerate collagen and encourages skin regrowth--Botox desensitizes the nerves that activate the muscles that create the wrinkles.
In my opinion it is perfectly safe to do both--be sure to consult a physician in person to make sure these treatments will deliver the result you seek.
Best of Luck!

In brief the answer is yes.  Prefer fractional CO2 laser resurfacing.  Suggest seeing a physician with significant experience with this procedure.