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.

The reasoning behind stopping your coffee is to make sure your blood pressure is as close to normal as possible at the time of your surgery.  While you will find many different recommendations regarding this, your best plan is to follow the interactions of the surgeon that you have chosen.