Pretty much so. The first tea of the day is usually something with more caffeine-- pu-erh, Yunnan black, or rose congou. Caffeine doesn't actually affect me unless it's in huge doses (like, really strong black coffee, and a lot of it), so it's more psychological, sort of a way of telling myself that the day has started.
During the day I drink a lot of iced green tea. Especially in the summer, because I play Dance Dance Revolution or soccer every day, so I get seriously thirsty.
At night I drink green or white tea, or a tisane. Those have calming, mellow tastes to me.
Pu-erh this morning; plenty of iced green tea during the day (it was HOT here); and I'm being screeched at by my kettle because the water for my hibiscus tisane just boiled.