Can open science project be performed/published by non-scientists?
Yes, of course anyone can publish an open science project. As many of us in the scientific community wish would happen, the project should be judged on merit, not who initiated it, where they studied, or what their background or education is.

These principles are enshrined in the San Francisco Declaration on Research Assessment (DORA), which have been widely circulated and many (unfortunately not a majority, yet) organisations quick to sign up to.