No, you cannot play Wii U games on an original Wii. They are fundamentally different consoles with incompatible architectures.
Wii U plays almost all Wii games. The Wii U includes a "Wii Mode" that downclocks the CPU, activates the Wii GPU subset, and runs the original Wii OS virtually. Your Wii library, saves, and WiiWare transfer forward. The reverse is architecturally impossible.
Nintendo designed forward compatibility, not backward time travel. The Wii U is the only Nintendo console that plays both libraries.