I made something similar to track and record data from a solar kiln. Not so much necessary, but just out of curiosity. The Pi is a good little platform for things such as that and you can do about anything you want with one.
Here's the thread on my logger:
http://forestryforum.com/board/index.php?topic=99386.0There are a lot of IoT servers that make it easy to get the data on the web where you can access it. These are easy to use and free for non-commercial, limited use applications. I can also access a more comprehensive output and control version when I'm on my home wifi network. This could be accessible from outside if I wanted.
Here's a link to the web data.
https://thingspeak.com/channels/398226This is not meaningful and the moment because there's no load in the kiln. I didn't really refine the data display because I depend more on my wifi connection. This just sort of scientific curiosity, but it illustrates the possibility.
Anyway, it's certainly possible to do what you're talking about and can any form you like. Getting into the Pi world is pretty inexpensive. How you interface it to the kiln controller will be your biggest question, but there are lot's of cheap peripherals for the Pi that can do whatever you need.
Sounds interesting. Jump in and do it. Good luck.