Nope. What's up with OR and WA having Falafel and bánh mì as their respective sandwiches? Also, NH and the Monte Cristo? As far as I can find, that iteration of the Croque Monsieur is attributed to CA. I actually don't really know what sandwich would best represent NH. In fact, there are no foods unique to NH that come to mind. There are some other weird picks and inaccuracies on here too. For example, no one says "Fluffernutter sammie" just "Fluffernutter". Edit: The pick for Maine is odd too. Lobster rolls are mostly for tourists, though Mainers (or Maineacs) do still eat them. I think the Maine style Italian sandwich is more authentic.
Best I can reckon for Oregon is that Falafel sandwiches have become a staple of the crunchy vegetarian crowd, of which there's a large contingent especially in the Portland area. Banh mi is actually spot-on for WA- there's a huge Vietnamese community here, especially surrounding Seattle. The neighborhood I live in is pho joints as far as the eye can see. Oddly enough, I have yet to find a decent banh mi that I haven't made with my own grubby mitts. This map makes me want one bad, though.
There's a big Viet community in the 'burbs of Boston too, though not as big as in Washington or California. I have to say, I haven't had a bánh mì in the U.S. that tasted like the real deal yet. For one, the bread generally isn't cheap or crappy enough. In fact, part of the problem is that the ingredients are too nice. Also, the flavors are tweaked for non-Viet consumers, which I understand. It's like getting a burger outside of North America: it might look like what you know, but there's something about it that just doesn't quite match up.
Or like when restaurants try to make Philly cheese steak sandwiches with provolone and good beef instead of cheez whiz and thin steak leavins'. Just not the same, and not as good. Although the best American fast food style burger I ever had was in Switzerland. So I'm holding out hope for good banh mi at some point in our corner of the globe.
I don't think Or has a state sandwich but if it did it sure wouldn't be the falafal pita. I know of only one place with a really good falafal sandwich in Portland. It's at a cart in the in the packing lot of a gas station, probably only 20 feet from the pumps (kinda gross but I don't let my self think about it). The guy who makes them is an ancient Chaldean guy, I'm usually the only European guy in line every one else is young middle eastern guys from the university. It's a decidedly UN-Oregonian experience.