Don't see why not. All the tea we had whilst in China was green tea and the coffee satchets in all the hotel rooms were the "complete" stuff and I don't take sugar.
By the way, every hotel we stayed in supplied us with soap, toothpaste, tooth brush, shampoo, body wash, conditioner and/or body lotion, a little sewing kit, comb and a pack containing cotton buds and cotton swabs. Do take loo paper with you along with hand sanitizer for whilst out and about. Loo paper isn't in all loos, some places we were handed a sheet, others had a roll outside!
You'll love it.
Sonia