After rhinoplasty, there can be swelling which can affect the appearance of the lip. I would say that a week after rhinoplasty, you should be able to have injections in the lip. The main reason for waiting this time period would be to see the lip as it normally appears before having the injection. There would really be no harm in injecting it sooner, but the lip could be partially distorted from the swelling of the nose.
These injections may be done immediately before or after your surgery, but it may be best to wait. You will experience swelling in your nose as well as your upper lip for a few weeks post-op. To truly get the results you'd like with your lip injections it is best to give your nose a few weeks to heal. "Dr.D"