Technically, Adobe has of Illustrator. Any "portable" version found online is an unauthorized modification created by third parties who have stripped away the installation and licensing requirements.

Seamless switching between vector and raster workspaces, advanced typography tools, unlimited undo history, and excellent compatibility with native .ai and .eps files. Adobe Creative Cloud Web / Express

Given the serious risks, it is always better to use legitimate software. Fortunately, there are several outstanding, completely free, and legal alternatives that can handle most vector design tasks.