I would say that it you need the remote server to be reliable and be online then no. Spend a few thousand bucks and get a new server with a support contract so that if the hardware at the remote office fails the vendor can send someone to fix it. This will also get you things like lights out management so that you can power the server on and off if you need to.
It’s like insurance, one day you will regret not having it. I would spend the money on quality hardware with redundant components even for a small remote branch. If the remote branch needs multiple “services”, you can utilize VMware Server to provide multiple virtual servers on a single reliable platform.