Accessing forked private repo using GitHub app

Hello, I met a problem in my work and here is the scenario. There is a private repo in our organization. An organization member forked the repo into his/her personal account. We have installed a GitHub app in the organization and we want to access the forked repo. Is it possible to use the GitHub installation in the organization to access the forked repo in the organization member’s personal account? It is possible to do so using the organization owner’s oauth token while I want to know is it possible with organization’s installation access token?