Genioplasty, lipo of flanks, rhinoplasty and fat grafting to cheeks done tomorrow! Would I be able to get 1ml lip fillers? Will ask my PS. Nervous.

Fillers. all those procedures cause swelling so you may be better off waiting for the swelling to subside. Additionally, those procedures are performed when you are asleep and a better lip injection can be performed when you are awake.
Filler to lips. I can see no reason as to why one couldn't get a filler to your lips with your other procedures. Please check with your surgeon. Good luck!