Earth's rotation provides considerable horizontal thrust to all launched satellites, nearly 1700km/hour near the Equator. That means considerable fuel savings and generally lower costs, and so most satellites accelerate in the earth rotation direction, adding to that speed.
Of course, satellites at GEO will not travel against the Earth surface, and ones beyond GEO will "apparently" travel "backwards" as Earth's rotation overtakes them, but they still travel in the same direction as Earth rotates.
Are there any satellites currently that do travel in the opposite direction? Of course, their launch would have been significantly more expensive as they'd have to first brake against Earth rotation and then accelerate from zero in the other direction, but that doesn't mean it can't be done. Has it been done?