If you don't need SolidWorks specifically, FreeCAD has portable versions available from PortableApps.com. It handles STEP, IGES, and even some SolidWorks files. While not fully compatible, it's legal and free.
First, ensure that you have SolidWorks 2004 installed on your computer. If you're using a portable version, you may need to follow specific instructions for launching the software. Once launched, create a new part by selecting "File" > "New" and choosing "Part" from the options. portable solidworks 2004 full
Create a portable virtual machine:
This gives true portability without cracking software. VMware even offers a free VMware Player that runs VMs portably. If you don't need SolidWorks specifically, FreeCAD has
To start making your piece, you need to create a sketch. First, ensure that you have SolidWorks 2004 installed