Checking file integrity after copying using Teracopy

Hi all! I've been transferring a bunch of stuff from my portable harddrives to my synology. After transferring using Synology's file transfer and connecting the harddrive directly, I've completed a handful. I started worrying about the file integrity of these transfers since synology really doesn't tell you what files failed and etc. So I started using Teracopy to transfer all the files instead. Can I use Teracopy to verify files that are already transferred that didn't use Teracopy?
Like plug harddrive into PC, and then "Source F:\" and "Target Nas location" and click verify. Does that work... sorry very new to data hoarding. Thanks in advanced