Can I still continue drinking my coffee right up to the night before surgery?

For our patients, as long as all pre-op lab exams and the pre-op cardio evaluation is fine, we would have no restrictions regarding drinking coffee up until the day before surgery.  Drinks that would be of concern are energy drinks such as Monster, Red Bull, etc.  These have too much risk of raising blood pressure.  

Drinking coffee should not cause problems during or after cosmetic surgery. However your surgeon may have certain preferences and his own reasons not to drink coffee so ask the surgeon who is operating on you.
Smoking, blood thinners and herbal supplements  are the big 3 to avoid preoperatively.

Every doctor has their own preference, so I would follow your facelift doctor's recommendations for the appropriate actions prior to your facelift surgery.