The problem is that the attachments folder needs to be writable by the web-server.
Changing the folder permissions to 0775 does not help if the Group ownership is not in the group for the web server.
You may need to run both of the following commands
chown -R <user>:apache <wp install folder>/wp-content/plugins/si-contact-form/attachments
chmod -R 775 <wp install folder>/wp-content/plugins/si-contact-form/attachments
This assumes that your webserver is running as Apache.