Microsoft now offers a web-based version of Visio. It allows you to create and edit diagrams directly in your browser (Edge, Chrome, or Firefox). This is the "official" way to work portably.
If you need Visio on the go but want to stay safe and legal, consider these options: microsoft office visio 2013 portable
If you need true portability with legal software, consider these alternatives rather than hunting for a repack. Microsoft now offers a web-based version of Visio
This post provides a comprehensive overview of the Microsoft Office Visio 2013 Portable microsoft office visio 2013 portable
Microsoft Visio 2013 | Скачать Visio | Microsoft Office