3200 is more do-able with HP5+ although I've had great luck with Delta 400 (an underrated film, IMHO) at 1600.
The main thing that will determine success or not is your developer. I'd definitely wait for another developer (ID-11 is a fine one but not for this particular task).
Look for Microphen or DD-X to do the trick for you. They're speed-increasing developers and well-suited to push processing.
Once again: your choice of developer will be the most important factor when pushing film. Some are well suited to it, others aren't.