Alton Towers Resort (UK) does not have a traditional go-kart track.
Instead, it offers the Alton Towers Driving School (in CBeebies Land for younger children, and a separate junior driving experience for older kids), where visitors can learn basic driving skills in small electric cars on a designed course with junctions, roundabouts, and traffic signals.
For actual go-karting, nearby venues include:
Alton Towers focuses on roller coasters (The Smiler, Wicker Man, Oblivion), dark rides, water park, and family attractions.