Yes. The Wii U supports two (or more) simultaneous players:
Player 1: Wii U GamePad (built-in screen + controls)
Player 2+: Wii Remote (+ Nunchuk), Wii U Pro Controller, or Classic Controller
Player count varies by game—check the icon on the box/eShop page (1–5 players). Many titles support 2-player co-op or versus using this asymmetric setup.