Probably not, but that's just not generally how it works in the web application world.
In the web application world, you now use application containers, storage containers, and some load balancer solution in front of it.
But (using the more traditional approach with a server), why not take inspiration from Amiga, and just tar out data to a ram disk during boot of the VM (or the container or whatever)
The proxy is just a simple php application. The local storage is for managing cookies from the target site and the session data for each user.
Not exactly huge data, and doesn't even need to survive reboots. It does sound like something that could be dropped into a paas somewhere, or a simple vhost at some VPS provider, VMware or whatever.