Does mattel produce toys for all major toy story characters?

The available verified sources mention the characters Woody and Buzz Lightyear from the 1995 film Toy Story, but they do not reference any toy manufacturer, including Mattel. Consequently, we cannot confirm that Mattel produces toys for all major characters in the franchise. Without explicit evidence linking Mattel to Toy Story toy production, it is not possible to assert such a claim. The question remains unanswered based on the provided sources.