Totally. I just built an app up on Phonegap a few minutes ago! I am using the NodeJS version of Ionic, but you can certainly compile your HTML version the same way.
Phonegap now draws from repositories, so as long as your code is accessible through a version control system like Github or Bitbucket, all you have to do is pull the latest commit and Phonegap will build it.
Alternatively, (and especially as you go to production) you can build your Phonegap package locally. There are loads of tutorials available, none of which I have bookmarked.
I am just coming out of a 1-year dev cycle for a different app, and I would urge you to STAY THE F*** AWAY from jQuery Mobile! It is bloated, slow, and feature-limited, and I had massive troubles trying to fix style and JS bugs across platforms (iOS, android, win, BBOS). I am just starting to dive into Ionic with Node / Angular and it’s a learning curve but already it has outperformed jQuery Mobile. I will NEVER look back to jQM!
It has taken me roughly 10 hours to start getting a handle on Angular. It’s hard… and beautiful. I am finally starting to recognize patterns.
Ionic Framework is best framework.