Can I resrict access to posts (projects) by group (account)?

I’m building a site where I want to create Projects and Accounts as the custom post types. I have internal project managers and clients (assigned to accounts) as users. I would like to grant access for projects to clients based on their account.

For instance. Project 1 is a project for ABC Company. ABC Company has several users that we would like to grant access to Project 1 and any other projects associated with ABC Company, but no access to projects associated with XYZ company.

I would like to create users, assign them to an account and grant access to projects based on their account.

Is this possible with CustomPress and Membership?