Yes! Jennifer Aniston drinks coffee.
She has been photographed leaving a coffee place called Banana Joe’s in Hawaii, holding a coffee along with Justin Theroux, August 2011. H was wearing a RATT shirt – Ratt were a metal band from the 80′s.
PopSugar has photos of Jennifer Aniston drinking Starbucks iced tea from 2009. She was photographed with the iced tea between filming sessions for The Baster. Photos of her drinking coffee are limited and it is unknown if the coffee (or tea) she drinks is regular coffee, or decaf.
Of course she has been photographed with coffee on the set of Friends at the Central Perk, usually drinking from those fancy over-sized cappuccino mugs.