Is It Normal to Still Have Some Swelling After Having a Brow Lift Done by Botox?

Depends on when you had your Botox injected, some swelling the first day is possible but I do advise to inform your medical provider 

Some temporary swelling could be normal, but if it has not subsided in a few days then follow up with your treating provider.

It depends on how long ago your treatment was done.  Immediately after Botox injections, the area that was injected will have developed small bump that resembles a mosquito bite.  The small bump should be absorbed almost immediately to about one hour after.  At times, if a bruise develops, some swelling may develop also at the injection site.  However, like a bruise, swelling should subside within a week.  If you develop a larger area of swelling or if it persists longer than a week, contact your physician.