A Pico Park Nintendo Switch port is on the way. At Tokyo Sandbox 2019, Tecopark had playable versions of the game that allows multiple people to play locally and stack cats in order to reach the keys needed to open doors. It currently has a Summer 2019 release window for Japan. (Thanks, Famitsu!)
The Nintendo Switch version of Pico Park will feature a number of alterations from the 2016 PC release. For one, it will only support between two and eight local players. The PC version allowed up to 10 people to join in. It also will have more levels for people to go through, though an exact number has not yet been provided.
To help people better visualize how they will work together in Pico Park, here. The game feels level scaling that alters the puzzles depending on how many people are playing, as well as tasks that can involve needing a certain number of people to push blocks or to create towers for reaching keys.
Pico Park is immediately available on PCs worldwide. The Japanese Nintendo Switch version has a Summer 2019 release window.