Sure. To make partitions you just need a partition program, and there are plenty of free and paid programs available if you search online. It's been about 3 years since the last time I used one, so I don't feel informed enough to make a suggestion, but there are guides and lists that explain the pros and cons of many partition programs.
However, for the purposes of transferring to a new computer you should check Microsoft's guide for doing so. Some of your drives probably don't have program referenced files, so you can move their contents however you want, but programs and their files may need to be reinstalled if drive letters (and therefore file addresses) change.