ooh yummy! In your suitcase when you come on vacation? As for what you can or can't bring into the US - you might want to check the US State Department's web site
http://www.state.gov/travelandbusiness/
To my knowledge there aren't blocks to bring in commercially prepared food, except meats and cheeses. Can't bring in plants in dirt (soil transports bugs and bacteria), some flower bulbs are illegal. Years ago I was able to bring cut flowers from Paris, but the Agriculture inspection agent removed the seed pods that were part of the decoration. No endangered species (on the international list), or products made from endangered species (so leave the ivory at home).
Here's the US Agriculture Dept web site with more travel info http://www.usda.gov/wps/portal/!ut/p...VEL_RECREATION
Hope this helps. So long answer to a short question - I'd love some Aussie chutney, and I highly doubt it'll be confiscated by customs. Just so the jar doesn't break in your suitcase. That would be an icky mess.