Yes, this can be configured when setting up Role rights in QPS Administrator. The right to Get Asset belonging to other users can be disabled when assigning General Privileges for each role. While Get PDF will still be available via WebHub, this option is not available in the regular clients.

Background:
In QPS Administrator it is possible to set privileges for users depending upon each user's role. The rights to 'Get' assets are set in the General Privileges for each role.