No, that’s only a temporary file ─ nothing in /tmp may assume that it’ll survive a reboot ─ and temporary files have the user ID (UID) of the user who ran the application that created them.
However, due to the nature of the permissions on /tmp, users cannot delete each other’s files ─ they can only delete their own files.
Normally, it should not affect other users. But the file will be gone upon reboot anyway, because /tmp lives on a virtual memory filesystem (tmpfs) ─ its contents do not exist on the physical drive.