Can a Nunchuk Replace a Second Wii Remote for Two-Player Wii Sports?
No. You cannot use a Nunchuk in place of a second Wii Remote when playing Wii Sports with two players.
Why It Doesn't Work
Two Remotes Required: Wii Sports is designed for two Wii Remotes—one per player.
Nunchuk is an Accessory: The Nunchuk attaches to a Wii Remote to provide additional motion controls (analog stick, two buttons, motion sensing) but cannot function independently as a controller.
No Single-Controller Mode: The game does not offer a mode where one player uses a Remote and Nunchuk to control both characters.
You will need two Wii Remotes to play Wii Sports with two players.