Anything can be done with enough time and money, but this just seems silly. If you have a built H22, there are plenty of easier options for you. It's basically drop-in to any of the 90-02 4 cylinder Accords and any 92-01 Preludes. Also, swapping an H in to a Civic or Integra is pretty easy now and results in a nice power-to-weight ratio.
If you're buying an RSX, then you're already set up for K-series, which is a superior engine in pretty much every way. Personally, I wouldn't do this, but it's up to you. I'm not sure where you'd find a pre-built harness for that sort of swap though.