In short, no.
Food and supplements generally do not affect healing after CO2 laser treatment in a healthy person with no underlying nutritional deficiency. Alcohol may cause flushing and make the post-laser redness more obvious. This may be disturbing to the patient so alcohol intake should be reduced.
More important factors that may result in poorer healing after CO2 laser treatment that should be avoided include UV exposure, smoking, early use of make-up before the skin has fully healed, unnecessary touching of the affected skin and picking on the scabs.