A VPN will give you a secure remote network connection into your home network. So if your phone already has the ability to browse files on your home computer when it is connected to your home WiFi, yeah a VPN should let you do this remotely as well.
If all you want to do is browse files on a single PC a full-blown VPN may be overkill; some sort of remote desktop app might be a better solution.
The years just pass like trains. I wave, but they don't slow down.
-- Steven Wilson