Would this work to get files from my computer?

F some reason it seems like Acronis won’t be able to clone my hard drive. Would adding the 1TB external drive to the system with Acronis, then putting a backup of certain files on the 1TB drive, then taking it to another computer and extracting the files work, and if so, how would I extract the files?

If not, is there some way to use a program that boots from cd to copy specific files to a flash drive? I just need a way to copy some of the files from my PC and then I can do a restore.