MetaQuotes (the developer) does not provide an official "portable" installer, but you can create one yourself:
You need the – no setup, no registry changes, fully self-contained. mt5 32 bit download portable
MetaQuotes does not officially provide a "Portable" version of MT5. The official website offers a standard installer ( mt5setup.exe ) which detects your OS architecture (32 or 64-bit) and installs traditionally. MetaQuotes (the developer) does not provide an official