Yes, this should be possible and sounds like you are part way there
This HP article covers how to achieve this:
I think it's fairly self explanatory but let me know if you have any questions.
Dang! I don't have an option to setup HP wireless direct.
I have my 1102w turned on with its wifi icon lit. It's on usb from my desktop and the iPad sees and is connected to my wifi. I try the airprint stuff and no printer is detected.
You have found my problem. It is the printer connection. Somehow its wireless feature is disabled. I need to work on that. Not your problem (yet.)