It is possible to fly within a day or two following your laser eye surgery, though this will depend to a degree on the type of treatment you are having.
If you are planning a trip oversees, make sure you discuss it with him at your consultation as he will be able to advise you.
All eye surgical procedures carry a level of risk including not obtaining the desired outcome, through to varying levels of visual loss. Your eye surgeon will discuss the risks and benefits, including ones specific to your circumstances, at the time of your pre-operative consultation