Moving files from a Broken iMac
Yes you can, as long as you put the disc in a usb 3 enclosure, compatible with your new Mac.
Edit after result of diskutil cs list.
Your HDD is part of a Fusion Drive :
HDD present :
+-&lt; Physical Volume FF551275-7077-4759-870E-2AA51B847383 
                ---------------------------------------------------- 
                    Index: 1 
                    Disk: disk3s2 
                    Status: Checking 
                    Size: 999345012736 B (999.3 GB) –

SSD absent :
+-&lt; Physical Volume 5CA40245-A547-42CE-A283-8A855191C7F5 
                | ---------------------------------------------------- 
                | (No properties) –