To understand why a "portable" version is impossible, you must understand how Fusion 360 works.
Windows-based portable apps typically run without touching the registry. Fusion 360 writes hundreds of keys to the Windows Registry for file associations, network configurations, and graphics drivers (DirectX/OpenGL). Without these, the software crashes on startup.
Verdict: Searching for "Autodesk Fusion 360 Portable Full" is like searching for "bottled oxygen that refills itself." It violates the basic physics of how the software operates.
Solution: Use OneDrive/Google Drive for your design files. Install Fusion 360 legally on each computer you use (it is free). Your designs sync automatically. This is faster than any USB-based portable app.