Comment by Joker_vD

No you can't. If a user can read something, it can execute it. The only thing where it matters is setuid applications where the setuid bit allows the user to run an application as someone else. But it's already a separate permission bit, and frankly, the whole setuid idea turned out to be quite a high-maintenance design in the end, with lots of additional features heaped on top of it to help mitigate the worst vulnerabilities.