Has pixar produced exclusive toy story merchandise outside disney?

Quick Answer
No, there is no evidence that Pixar has produced Toy Story merchandise exclusively outside Disney.
Explanation
Toy Story, released in 1995, was the first feature film produced by Pixar Animation Studios. Pixar’s partnership with Disney began when Disney approached the company after the success of the short film Tin Toy, and the studio was eventually acquired by Disney in 2006. Since the acquisition, Disney has managed the merchandising, distribution, and licensing of the Toy Story brand. There is no documented evidence that Pixar independently produced exclusive Toy Story merchandise outside of Disney’s control. Therefore, any toy or merchandise associated with the franchise would be under Disney’s licensing agreements, not a separate Pixar initiative.