Avoid "CorelDRAW X5 Portable" downloads. They are unauthorized cracks that pose security and legal risks. Use Inkscape for a free, portable vector editor instead.
If you're looking for a similar graphic design software that offers portability, you might consider alternatives like:
To understand why people still seek this specific version, one must look at the features introduced in X5. It was a major milestone in the CorelDRAW Graphics Suite history.