I voted "No, I can't". Sometimes I really TRY to do it when I'm at a Japanese friend's home and the main dish is soba, udon or ramen, just as a sign of politeness and respect to their customs. But as soon as I get tired of trying, I simply say "it's delicious, but I can't slurp anymore". Then I briefly explain manners in Western countries, which usually leads to interesting discussions.
Once I asked a Japanese friend: "when you eat spaghetti, do you slurp?", and she said no, but couldn't really explain to me why.