not entirely, the only reason you see that is because the game is set in skyrim, look at southern morrowind with the dunmer and argonians, look at the woodelves and the thalmor, and one that hasn't been mentioned, the forsworn, even their brethren the bretons shun them, and for what?
Nords don't hate elves, they despise elves.
I wouldn't blame Nords for hating them either. You have one nation trying to invade them, you have another nation living off of them because they are so stupid as to not cooperate with the surrounding provinces. Another nation is just throwing down their strongholds wherever they please in Skyrim!
Who knows what the Bosmer will do to the Nords after the rest of Mer-kind do what they want to them.
Elves haven't given any Nord a reason to like them anyhow. They are nothing but a bunch of stuck up degenerates who can't appreciate another races' culture.
The Bosmer are probably the most accepting race in TES (though they do hate the Khajiit). They helped the slaves of the Ayleid empire and then they helped Ayleid lords when they were being slaughtered (keep in mind, these were the Ayleid that helped the slaves rebel).
The Nords and Altmer hate each other for ideological differences. Very fundamental differences. Differences that go back to the creation of Mundus.