Are the basic pre-installation checks good? See: Before you install
What graphics card/s do you have?
Are you able to boot into Recovery option from grub menu?
Are you able to boot from your ZorinOS USB in "Try Zorin" mode?
Well, the good news is that it is not a failing drive, then.
If this is a PC (with case), I would check the cable connection to the driver to make sure both ends are secure, in case of I/O faults.
Are you using LVM?
What is your terminal output for (You can use the Recovery Mode terminal):