Yes, we have file systems monitoring in place folded into our mission of providing impenetrably Secure WordPress Hosting. All server-side packages (NGINX, PHP, Apache, SSH, OpenSSL, etc.) are closely monitored for any security exposures with appropriate patching and mitigation steps applied as needed.
Read more info on our 24/7 Uptime VPS Monitoring and our well-defined protocols for scanning your files for malware and other vicious known exploits.