Remote control a computer/smartphone using an Arduino as a GSM-modem

Good day

I was wondering if it is possible to set up a data connection between two computers using Arduinos with a GSM-shield acting as a modem. Basically you dial to or send sms-commands to the server Arduino which interprets, converts and relyes them to the server application hosted on that computer. Thus you are able to upload and download files from that computer.

I know that there are several other and better ways of doing this but I dont want this to be an ip-based connection at all and I will gladly sacrifice a lot of bandwith for this (you dont need a lot of bandwith for text-file transfers to and from a ftp or telnet server anyway).