I think what you're saying is that you want to make posts in one place and have them show on both websites?
If so, yes, it's possible - but it's not simple. Takes a lot of setup to do it.
It's possible for instance to syndicate content using special software - but we aren't set up for that, and I'm sure neither are you!
What some people do is have their own home page, with a couple of pages on it, and point to their blog on HU for the daily journal stuff. You'll get far more readers here than on a private site.
hope that makes sense!
Seek, and ye shall find.
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