Yes. Office 2016 runs well on a Surface Pro 7. The Surface Pro 7 uses a regular Intel x86 chip. Office 2016 will install and run natively.
Microsoft ended all support (including security patches) for Office 2016 in October 2025. So, you'd be running an unpatched, unsupported version of Office going forward.
If it's genuinely just "a few files" and you don't need real-time sync, a USB stick is enough.