As we all know, the intervention of root is necessary to mount a filesystem on Linux. But is it possible to do this without access to the root account? Because I don't know the password of root.
Your question is something of an oxymoron - you start by stating that root is required to mount filesystems then ask how filesystems can be mounted without root access.
Yes, it's completely possible - and because this is a Unix type system there's lots of different ways to do it. You could use sudo to allow the user to run a specific script as root which will mount the filesystem, or use pam_mount, or add the filesystem to the fstab with appropriate options to mount as a non-root user with the