no official portable version of BlueStacks released by its developers. BlueStacks requires a full installation to function properly because it needs to install low-level drivers and create a virtual environment that integrates deeply with your Windows or macOS operating system.
That said, could change everything. In theory, a future version of WSA might be made portable via the Microsoft Store. But today, Windows Subsystem for Android is tied to the Microsoft Store and requires a Microsoft account. Bluestacks Portable Version