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Is a old raspberry pi viable for anything with Linux?
(programming.dev)
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Raspberry Pi OS is based on Debian. You should be able to do what you're describing and more by enabling SSH even without changing the OS.
Assuming it's a Pi 3, Wireguard will work on it, as will Syncthing (useful if you add an SSD) but the interface bandwidth is limited so it can be a bit slow. That may not be too much of a problem though. My cable Internet's upload speed is limited to 20Mbps, and despite the limited bandwidth both Wireguard and Syncthing are surprisingly useful.