I had occasion to look into this question as I just listed the home at 13133 Alton Rd in the Alton Developement in Palm Beach Gardens.
Yes, The Club at Alton does have pickleball courts located outside the main club house 13255 Alton Rd, Palm Beach Gardens, FL 33418.
The Club at Alton features a Grand Hall with lounge seating & TV, Chill Zone with Bar Area, Refrigerator, Sink & Flat Screen TVs, Health Hall with Free Weights, Strength & Cardio Training Equipment, Boxing bag and Interactive Training, Tot Room, Aerobics Room with ballet/fitness Barre, Spin stations & other workout essentials, Resort-Style Heated Pool w/ Lap Lanes, Beach Entry and cabanas, Tennis & Pickleball Courts, Full Basketball Court, Sand Volleyball Court, Kids Playground, Outdoor Game Tables (foosball and ping pong) and On-Site Managemen