I'm pretty sure that's the flex-hose portion of the piece that connects the two fuel rails together. It's called the Fuel Joint Hose. #5 in the pic below. Here is a link to the parts on an 2009 EX-L (with VCM):
Yeah it's a high-pressure fuel line so they won't let you do terminations yourself.
eBay is your friend for a piece like this. I find like-new stuff all the time. I just bought a 22+ year old integra battery/starter cable. After cleaning it up, it looked like new. Just gotta look close at the pics.
Here's your fuel line assembly for 45 shipped. Looks pretty darn good at first glance. A pair of new o-rings and you should be good to go. This is the first one I looked at. Just search "Odyssey fuel hose used".
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