Yes, you can read (view) PDF files in your Ipod Touch/ Iphone. You can view the files later without needing any Internet Connection. But one drawback is, you need access to a WiFi network!
The Best way to do this is, by creating your own WiFi Network, that means it will be free and you will not have to pay charge for transfering PDF files.
Step 1. Download The App “Files Lite”
Go official link here and download the free version. The free version allows a maximum limit to 200 MB
Step 2. Start the Application in your Iphone
Once you have downloaded & installed the application, start it in your ipod. Before that, be sure you are connected to a WiFi Network. When you start the app, it will prompt you an internet address i.e http://192.168.137.21:8080 or something like this. Open your favorite browser and go to this address by typing it in your address-bar.
If everything is all right, you will see a web-page, using which you can upload PDF files in your Ipod! Later, to read the PDFs, open the app in your Iphone and select the PDF you want to read. That’s so simple đŸ˜€
Anything but "Hacking" 
It’s a incredible post, not that hard for you to learn. Thank you for taking time to give your own views.
Hi
When I downloaded the APP files lite, it downladed and I pressed Install, then I saw 0 files in Public folder and there was a welcome file. No other apps seen. Is it beacuse of 200 MB app download limit? My kids downlaoded free Game apps.
Thanks
will this application works in apple’s iop, i-touch
Very nice app for iPod, I hope one day I’ll see a similar one from CoolUtils that will run on iPod-touch/iPhone